Sura ya 9 Mazoezi Mapitio

Sura ya 9 Mazoezi Mapitio

Kurahisisha na Tumia mizizi ya Mraba

Punguza Maneno na Mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{1}$

$\sqrt{64}$

Zoezi$\PageIndex{2}$

$\sqrt{144}$

Jibu

12

Zoezi$\PageIndex{3}$

$−\sqrt{25}$

Zoezi$\PageIndex{4}$

$−\sqrt{81}$

Jibu

—9

Zoezi$\PageIndex{5}$

$\sqrt{−9}$

Zoezi$\PageIndex{6}$

$\sqrt{−36}$

Jibu

si idadi halisi

Zoezi$\PageIndex{7}$

$\sqrt{64}+\sqrt{225}$

Zoezi$\PageIndex{8}$

$\sqrt{64+225}$

Jibu

17

Tathmini Mizizi ya Mraba

Katika mazoezi yafuatayo, tathmini kila mizizi ya mraba kati ya namba mbili za mfululizo.

Zoezi$\PageIndex{9}$

$\sqrt{28}$

Zoezi$\PageIndex{10}$

$\sqrt{155}$

Jibu

$12<\sqrt{155}<13$

Mizizi ya Mraba

Katika mazoezi yafuatayo, takriban kila mizizi ya mraba na pande zote kwa maeneo mawili ya decimal.

Zoezi$\PageIndex{11}$

$\sqrt{15}$

Mfano$\PageIndex{12}$

$\sqrt{57}$

Jibu

7.55

Punguza maneno ya kutofautiana na Mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{13}$

$\sqrt{q^2}$

Zoezi$\PageIndex{14}$

$\sqrt{64b^2}$

Jibu

8b

Zoezi\ e$\PageIndex{15}$

$−\sqrt{121a^2}$

Zoezi$\PageIndex{16}$

$\sqrt{225m^{2}n^{2}}$

Jibu

15mn

Zoezi$\PageIndex{17}$

$−\sqrt{100q^2}$

Zoezi$\PageIndex{18}$

$\sqrt{49y^2}$

Jibu

7y

Zoezi$\PageIndex{19}$

$\sqrt{4a^{2}b^{2}}$

Zoezi$\PageIndex{20}$

$\sqrt{121c^{2}d^{2}}$

Jibu

11cd

Kurahisisha mizizi ya mraba

Tumia mali ya Bidhaa ili kurahisisha Mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{21}$

$\sqrt{300}$

Zoezi$\PageIndex{22}$

$\sqrt{98}$

Jibu

$7\sqrt{2}$

Zoezi$\PageIndex{23}$

$\sqrt{x^{13}}$

Zoezi$\PageIndex{24}$

$\sqrt{y^{19}}$

Jibu

$y^{9}\sqrt{y}$

Zoezi$\PageIndex{25}$

$\sqrt{16m^4}$

Zoezi$\PageIndex{26}$

$\sqrt{36n^{13}}$

Jibu

$6n^{6}\sqrt{n}$

Zoezi$\PageIndex{27}$

$\sqrt{288m^{21}}$

Zoezi$\PageIndex{28}$

$\sqrt{150n^7}$

Jibu

$5n^3\sqrt{6n}$

Zoezi$\PageIndex{29}$

$\sqrt{48r^{5}s^{4}}$

Zoezi$\PageIndex{30}$

$\sqrt{108r^{5}s^{3}}$

Jibu

$6r^{2}s\sqrt{3rs}$

Zoezi$\PageIndex{31}$

$\frac{10−\sqrt{50}}{5}$

Zoezi$\PageIndex{32}$

$\frac{6+\sqrt{72}}{6}$

Jibu

$1+\sqrt{2}$

Tumia mali ya Quotient ili kurahisisha Mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{33}$

$\sqrt{\frac{16}{25}}$

Zoezi$\PageIndex{34}$

$\sqrt{\frac{81}{36}}$

Jibu

$\frac{3}{2}$

Zoezi$\PageIndex{35}$

$\sqrt{\frac{x^8}{x^4}}$

Zoezi$\PageIndex{36}$

$\sqrt{\frac{y^6}{y^2}}$

Jibu

$y^2$

Zoezi$\PageIndex{37}$

$\sqrt{\frac{98p^6}{2p^2}}$

Zoezi$\PageIndex{38}$

$\sqrt{\frac{72q^8}{2q^4}}$

Jibu

$6q^2$

Zoezi$\PageIndex{39}$

$\sqrt{\frac{65}{121}}$

Zoezi$\PageIndex{40}$

$\sqrt{\frac{26}{169}}$

Jibu

$\frac{\sqrt{26}}{13}$

Zoezi$\PageIndex{41}$

$\sqrt{\frac{64x^4}{25x^2}}$

Zoezi$\PageIndex{42}$

$\sqrt{\frac{36r^{10}}{16r^5}}$

Jibu

$\frac{3r^2\sqrt{r}}{2}$

Zoezi$\PageIndex{43}$

$\sqrt{\frac{48p^{3}q^{5}}{27pq}}$

Zoezi$\PageIndex{44}$

$\sqrt{\frac{12r^{5}s^{7}}{75r^{2}s}}$

Jibu

$\frac{2rs^3\sqrt{r}}{5}$

Ongeza na Ondoa Mizizi ya Mraba

Ongeza na Ondoa Kama Mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{45}$

$3\sqrt{2}+\sqrt{2}$

Zoezi$\PageIndex{46}$

$5\sqrt{5}+7\sqrt{5}$

Jibu

$12\sqrt{5}$

Zoezi$\PageIndex{47}$

$4\sqrt{y}+4\sqrt{y}$

Zoezi$\PageIndex{48}$

$6\sqrt{m}−2\sqrt{m}$

Jibu

$4\sqrt{m}$

Zoezi$\PageIndex{49}$

$−3\sqrt{7}+2\sqrt{7}−\sqrt{7}$

Zoezi$\PageIndex{50}$

$8\sqrt{13}+2\sqrt{3}+3\sqrt{13}$

Jibu

$11\sqrt{13}+2\sqrt{3}$

Zoezi$\PageIndex{51}$

$3\sqrt{5xy}−\sqrt{5xy}+3\sqrt{5xy}$

Zoezi$\PageIndex{52}$

$2\sqrt{3rs}+\sqrt{3rs}−5\sqrt{rs}$

Jibu

$3\sqrt{3rs}−5\sqrt{rs}$

Ongeza na Ondoa Mizizi ya Mraba ambayo inahitaji kurahisisha

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{53}$

$\sqrt{32}+3\sqrt{2}$

Zoezi$\PageIndex{54}$

$\sqrt{8}+\sqrt{32}$

Jibu

$5\sqrt{2}$

Zoezi$\PageIndex{55}$

$\sqrt{72}+\sqrt{50}$

Zoezi$\PageIndex{56}$

$\sqrt{48}+\sqrt{75}$

Jibu

$9\sqrt{3}$

Zoezi$\PageIndex{57}$

$3\sqrt{32}+\sqrt{98}$

Zoezi$\PageIndex{58}$

$\frac{1}{3}\sqrt{27}−\frac{1}{8}\sqrt{192}$

Jibu

0

Zoezi$\PageIndex{59}$

$\sqrt{50y^5}−\sqrt{72y^5}$

Zoezi$\PageIndex{60}$

Kuongeza mazoezi Nakala hapa.

Jibu

$17n^2\sqrt{2}$

Kuzidisha mizizi ya Mraba

Kuzidisha mizizi ya Mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{61}$

$\sqrt{2}·\sqrt{20}$

Zoezi$\PageIndex{62}$

$2\sqrt{2}·6\sqrt{14}$

Jibu

$24\sqrt{7}$

Zoezi$\PageIndex{63}$

$\sqrt{2m^2}·\sqrt{20m^4}$

Zoezi$\PageIndex{64}$

$(\sqrt{62y})(\sqrt{350y^3})$

Jibu

$180y^2$

Zoezi$\PageIndex{65}$

$(6\sqrt{3v^4})(5\sqrt{30v})$

Zoezi$\PageIndex{66}$

$(\sqrt{8})^2$

Jibu

8

Zoezi$\PageIndex{67}$

$(−\sqrt{10})^2$

Zoezi$\PageIndex{68}$

$(2\sqrt{5})(5\sqrt{5})$

Jibu

50

Zoezi$\PageIndex{69}$

$(−3\sqrt{3})(5\sqrt{18})$

Tumia Uzidishaji wa Polynomial ili Kuzidisha Mizizi

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{70}$

$10(2−\sqrt{7})$

Jibu

$20−10\sqrt{7}$

Zoezi$\PageIndex{71}$

$\sqrt{3}(4+\sqrt{12})$

Zoezi$\PageIndex{72}$

$(5+\sqrt{2})(3−\sqrt{2})$

Jibu

$13−2\sqrt{2}$

Zoezi$\PageIndex{73}$

$(5−3\sqrt{7})(1−2\sqrt{7})$

Zoezi$\PageIndex{74}$

$(1−3\sqrt{x})(5+2\sqrt{x})$

Jibu

$5−13\sqrt{x}−6x$

Zoezi$\PageIndex{75}$

$(3+4\sqrt{y})(10−\sqrt{y})$

Zoezi$\PageIndex{76}$

$(1+6\sqrt{p})^2$

Jibu

$1+12\sqrt{p}+36p$

Zoezi$\PageIndex{77}$

$(2−6\sqrt{5})^2$

Zoezi$\PageIndex{78}$

$(3+2\sqrt{7})(3−2\sqrt{7})$

Jibu

19-19

Zoezi$\PageIndex{79}$

$(6−\sqrt{11})(6+\sqrt{11})$

Gawanya mizizi ya mraba

Gawanya mizizi ya mraba

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{80}$

$\frac{\sqrt{75}}{10}$

Jibu

$\frac{\sqrt{3}}{2}$

Zoezi$\PageIndex{81}$

$\frac{2−\sqrt{12}}{6}$

Zoezi$\PageIndex{82}$

$\frac{\sqrt{48}}{\sqrt{27}}$

Jibu

$\frac{4}{3}$

Zoezi$\PageIndex{83}$

$\frac{\sqrt{75x^7}}{\sqrt{3x^3}}$

Zoezi$\PageIndex{84}$

$\frac{\sqrt{20y^5}}{\sqrt{2y}}$

Jibu

$y^2\sqrt{10}$

Zoezi$\PageIndex{85}$

$\frac{\sqrt{98p^{6}q^{4}}}{\sqrt{2p^{4}q^{8}}}$

Rationalize Denominator ya Muda Mmoja

Katika mazoezi yafuatayo, rationalize denominator.

Zoezi$\PageIndex{86}$

$\frac{10}{\sqrt{15}}$

Jibu

$\frac{2\sqrt{15}}{3}$

Zoezi$\PageIndex{87}$

$\frac{6}{\sqrt{6}}$

Zoezi$\PageIndex{88}$

$\frac{5}{3\sqrt{5}}$

Jibu

$\frac{\sqrt{5}}{3}$

Zoezi$\PageIndex{89}$

$\frac{10}{2\sqrt{6}}$

Zoezi$\PageIndex{90}$

$\sqrt{\frac{3}{28}}$

Jibu

$\frac{\sqrt{21}}{14}$

Zoezi$\PageIndex{91}$

$\sqrt{\frac{9}{75}}$

Rationalize Denominator ya Muda Mbili

Katika mazoezi yafuatayo, rationalize denominator.

Zoezi$\PageIndex{92}$

$\frac{4}{4+\sqrt{27}}$

Jibu

$\frac{16−12\sqrt{3}}{−11}$

Zoezi$\PageIndex{93}$

$\frac{5}{2−\sqrt{10}}$

Zoezi$\PageIndex{94}$

$\frac{4}{2−\sqrt{5}}$

Jibu

$−8−4\sqrt{5}$

Zoezi$\PageIndex{95}$

$\frac{5}{4−\sqrt{8}}$

Zoezi$\PageIndex{96}$

$\frac{\sqrt{2}}{\sqrt{p}+\sqrt{3}}$

Jibu

$\frac{\sqrt{2p}−\sqrt{6}}{p−3}$

Zoezi$\PageIndex{97}$

$\frac{\sqrt{x}−\sqrt{2}}{\sqrt{x}+\sqrt{2}}$

Tatua Equations na Mizizi ya Mraba

Kutatua equations radical

Katika mazoezi yafuatayo, tatua equation.

Zoezi$\PageIndex{98}$

$\sqrt{7z+1}=6$

Jibu

5

Zoezi$\PageIndex{99}$

$\sqrt{4u−2}−4=0$

Zoezi$\PageIndex{100}$

$\sqrt{6m+4}−5=0$

Jibu

$\frac{7}{2}$

Zoezi$\PageIndex{101}$

$\sqrt{2u−3}+2=0$

Zoezi$\PageIndex{102}$

$\sqrt{u−4}+4=u$

Jibu

hakuna suluhisho

Zoezi$\PageIndex{103}$

$\sqrt{v−9}+9=0$

Zoezi$\PageIndex{104}$

$\sqrt{r−4}−r=−10$

Jibu

13

Zoezi$\PageIndex{105}$

$\sqrt{s−9}−s=−9$

Zoezi$\PageIndex{106}$

$2\sqrt{2x−7}−4=8$

Jibu

$\frac{43}{2}$

Zoezi$\PageIndex{107}$

$\sqrt{2−x}=\sqrt{2x−7}$

Zoezi$\PageIndex{108}$

$\sqrt{a}+3=\sqrt{a+9}$

Jibu

0

Zoezi$\PageIndex{109}$

$\sqrt{r}+3=\sqrt{r+4}$

Zoezi$\PageIndex{110}$

$\sqrt{u}+2=\sqrt{u+5}$

Jibu

$\frac{11}{6}$

Zoezi$\PageIndex{111}$

$\sqrt{n+11}−1=\sqrt{n+4}$

Zoezi$\PageIndex{112}$

$\sqrt{y+5}+1=\sqrt{2y+3}$

Jibu

11

Tumia Mizizi ya Mraba katika Maombi

Katika mazoezi yafuatayo, tatua. Round makadirio ya mahali moja decimal.

Zoezi$\PageIndex{113}$

Kipande cha sod kitafunika eneo la futi za mraba 600. Trinh anataka kuagiza godoro la sod kufanya lawn mraba katika mashamba yake. Kutumia formula$s=\sqrt{A}$ kupata urefu wa kila upande wa lawn yake.

Zoezi$\PageIndex{114}$

Helikopta imeshuka mfuko kutoka kimo cha miguu 900 juu ya hiker stranded. Tumia formula$t=\frac{\sqrt{h}}{4}$ ili kupata sekunde ngapi ilichukua kwa mfuko ili kufikia hiker.

Jibu

Sekunde 7.5

Zoezi$\PageIndex{115}$

Afisa Morales alipima alama za skid za moja ya magari yaliyohusika katika ajali. Urefu wa alama za skid ulikuwa miguu 245. Tumia formula$s=\sqrt{24d}$ ili kupata kasi ya gari kabla ya breki zilitumiwa.

Mizizi ya Juu

Rahisisha Maneno na Mizizi ya Juu

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{116}$

1. $\sqrt[6]{64}$
2. $\sqrt[3]{64}$

Jibu

1. 2
2. 4

Zoezi$\PageIndex{117}$

1. $\sqrt[3]{−27}$
2. $\sqrt[4]{−64}$

Zoezi$\PageIndex{118}$

1. $\sqrt[9]{d^9}$
2. $\sqrt[8]{v^8}$

Jibu

1. d
2. |v|

Zoezi$\PageIndex{119}$

1. $\sqrt[5]{a^{10}}$
2. $\sqrt[3]{b^{27}}$

Zoezi$\PageIndex{120}$

1. $\sqrt[4]{16x^8}$
2. $\sqrt[6]{64y^{12}}$

Jibu

1. $2x^2$
2. $2y^2$

Zoezi$\PageIndex{121}$

1. $\sqrt[7]{128r^{14}}$
2. $\sqrt[4]{81s^{24}}$

Tumia Mali ya Bidhaa ili kurahisisha Maneno na Mizizi ya Juu

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{122}$

1. $\sqrt[9]{d^9}$

Jibu

1. d

Zoezi$\PageIndex{123}$

1. $\sqrt[3]{54}$
2. $\sqrt[4]{128}$

Zoezi$\PageIndex{124}$

1. $\sqrt[5]{64c^8}$
2. $\sqrt[4]{48d^7}$

Jibu

1. $2c\sqrt[5]{2c^3}$
2. $2d\sqrt[4]{3d^3}$

Zoezi$\PageIndex{125}$

1. $\sqrt[3]{343q^7}$
2. $\sqrt[6]{192r^9}$

Zoezi$\PageIndex{126}$

1. $\sqrt[3]{−500}$
2. $\sqrt[4]{−16}$

Jibu

1. $−5\sqrt[3]{4}$
2. si idadi halisi

Tumia Mali ya Quotient ili kurahisisha Maneno na Mizizi ya Juu

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{127}$

$\sqrt[5]{\frac{r^{10}}{r^5}}$

Zoezi$\PageIndex{128}$

$\sqrt[3]{\frac{w^{12}}{w^2}}$

Jibu

$w^3\sqrt[3]{w}$

Zoezi$\PageIndex{129}$

$\sqrt[4]{\frac{64y^8}{4y^5}}$

Zoezi$\PageIndex{130}$

$\sqrt[3]{\frac{54z^9}{2z^3}}$

Jibu

$3z^2$

Zoezi$\PageIndex{131}$

$\sqrt[6]{\frac{64a^7}{b^2}}$

Ongeza na Ondoa Mizizi ya Juu

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{132}$

$4\sqrt[5]{20}−2\sqrt[5]{20}$

Jibu

$2\sqrt[5]{20}$

Zoezi$\PageIndex{133}$

$4\sqrt[3]{18}+3\sqrt[3]{18}$

Zoezi$\PageIndex{134}$

$\sqrt[4]{1250}−\sqrt[4]{162}$

Jibu

$2\sqrt[4]{2}$

Zoezi$\PageIndex{135}$

$\sqrt[3]{640c^5}−\sqrt[3]{−80c^3}$

Zoezi$\PageIndex{136}$

$\sqrt[5]{96t^8}+\sqrt[5]{486t^4}$

Jibu

$2t^\sqrt[5]{3t^3}+3\sqrt[5]{2t^4}$

Mantiki watetezi

Kurahisisha Maneno na$a^{\frac{1}{n}}$

Katika mazoezi yafuatayo, andika kama kujieleza kwa kiasi kikubwa.

Zoezi$\PageIndex{137}$

$r^{\frac{1}{8}}$

Zoezi$\PageIndex{138}$

$s^{\frac{1}{10}}$

Jibu

Katika mazoezi yafuatayo, andika kwa ufafanuzi wa busara.

Zoezi$\PageIndex{139}$

$\sqrt[5]{u}$

Zoezi$\PageIndex{140}$

$\sqrt[6]{v}$

Jibu

$v^{\frac{1}{6}}$

Zoezi$\PageIndex{141}$

$\sqrt[3]{9m}$

Zoezi$\PageIndex{142}$

$\sqrt[6]{10z}$

Jibu

$(10z)^{\frac{1}{6}}$

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{143}$

$16^{\frac{1}{4}}$

Zoezi$\PageIndex{144}$

$32^{\frac{1}{5}}$

Jibu

2

Zoezi$\PageIndex{145}$

$(−125)^{\frac{1}{3}}$

Zoezi$\PageIndex{146}$

$(125)^{−\frac{1}{3}}$

Jibu

$\frac{1}{5}$

Zoezi$\PageIndex{147}$

$(−9)^{\frac{1}{2}}$

Zoezi$\PageIndex{148}$

$(36)^{−\frac{1}{2}}$

Jibu

$\frac{1}{6}$

Kurahisisha Maneno na$a^{\frac{m}{n}}$

Katika mazoezi yafuatayo, andika kwa ufafanuzi wa busara.

Zoezi$\PageIndex{149}$

$\sqrt[3]{q^5}$

Zoezi$\PageIndex{150}$

$\sqrt[5]{n^8}$

Jibu

$n^{\frac{8}{5}}$

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{151}$

$27^{−\frac{2}{3}}$

Zoezi$\PageIndex{152}$

$64^{\frac{5}{2}}$

Jibu

32,768

Zoezi$\PageIndex{153}$

$36^{\frac{3}{2}}$

Zoezi$\PageIndex{154}$

$81^{−\frac{5}{2}}$

Jibu

$\frac{1}{59,049}$

Tumia Sheria za Watazamaji ili kurahisisha Maneno na Maonyesho ya Mantiki

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{155}$

$3^{\frac{4}{5}}·3^{\frac{6}{5}}$

Zoezi$\PageIndex{156}$

$(x^6)^{\frac{4}{3}}$

Jibu

$x^8$

Zoezi$\PageIndex{157}$

$\frac{z^{\frac{5}{2}}}{z^{\frac{7}{5}}}$

Zoezi$\PageIndex{158}$

$(16s^{\frac{9}{4}})^{\frac{1}{4}}$

Jibu

$2s^{\frac{9}{16}}$

Zoezi$\PageIndex{159}$

$(m^{8}n^{12})^{\frac{1}{4}}$

Zoezi$\PageIndex{160}$

$\frac{z^{\frac{2}{3}}·z^{−\frac{1}{3}}}{z^{−\frac{5}{3}}}$

Jibu

$z^2$

Mazoezi mtihani

Katika mazoezi yafuatayo, kurahisisha.

Zoezi$\PageIndex{161}$

$\sqrt{81+144}$

Zoezi$\PageIndex{162}$

$\sqrt{169m^{4}n^{2}}$

Jibu

$13m^{2}|n|$

Zoezi$\PageIndex{163}$

$\sqrt{36n^{13}}$

Zoezi$\PageIndex{164}$

$3\sqrt{13}+5\sqrt{2}+\sqrt{13}$

Jibu

$4\sqrt{13}+5\sqrt{2}$

Zoezi$\PageIndex{165}$

$5\sqrt{20}+2\sqrt{125}$

Zoezi$\PageIndex{166}$

$(3\sqrt{6y})(\sqrt{250y^3})$

Jibu

$180y^2\sqrt{3}$

Zoezi$\PageIndex{167}$

$(2−5\sqrt{x})(3+\sqrt{x})$

Zoezi$\PageIndex{168}$

$(1−2\sqrt{q})^2$

Jibu

$1−4\sqrt{q}+4q$

Zoezi$\PageIndex{169}$

1. $\sqrt{a^{12}}$
2. $\sqrt[3]{b^{21}}$

Zoezi$\PageIndex{170}$

1. $\sqrt[4]{81x^{12}}$
2. $\sqrt[6]{64y^{18}}$

Jibu

1. $3x^3$
2. $2y^3$

Zoezi$\PageIndex{171}$

$\sqrt[6]{\frac{64r^{12}}{25r^6}}$

Zoezi$\PageIndex{172}$

$\sqrt{\frac{14y^3}{7y}}$

Jibu

$y\sqrt{2}$

Zoezi$\PageIndex{173}$

$\frac{\sqrt{256x^7}}{\sqrt{54x^2}}$

Zoezi$\PageIndex{174}$

$\sqrt[4]{512}−2\sqrt[4]{32}$

Jibu

0

Zoezi$\PageIndex{175}$

1. $256^{\frac{1}{4}}$
2. $243^{\frac{1}{5}}$

Zoezi$\PageIndex{176}$

$49^{\frac{3}{2}}$

Jibu

343

Zoezi$\PageIndex{177}$

$25^{−\frac{5}{2}}$

Zoezi$\PageIndex{178}$

$\frac{w^{\frac{3}{4}}}{w^{\frac{7}{4}}}$

Jibu

$\frac{1}{w}$

Zoezi$\PageIndex{179}$

$(27s^{\frac{3}{5}})^{\frac{1}{3}}$

Katika mazoezi yafuatayo, rationalize denominator.

Zoezi$\PageIndex{180}$

$\frac{3}{2\sqrt{6}}$

Jibu

$\frac{\sqrt{6}}{4}$

Zoezi$\PageIndex{181}$

$\frac{\sqrt{3}}{\sqrt{x}+\sqrt{5}}$

Katika mazoezi yafuatayo, tatua.

Zoezi$\PageIndex{182}$

$3\sqrt{2x−3}−20=7$

Jibu

42

Zoezi$\PageIndex{183}$

$\sqrt{3u−2}=\sqrt{5u+1}$

Katika zoezi zifuatazo, tatua.

Zoezi$\PageIndex{184}$

helikopta flying katika urefu wa 600 miguu imeshuka mfuko kwa lifeboat. Tumia formula$t=\frac{\sqrt{h}}{4}$ ili kupata sekunde ngapi ilichukua kwa mfuko ili kufikia hiker. Pindua jibu lako kwa karibu kumi ya pili.

Jibu

6.1 sekunde