Math, asked by komalsit25, 9 months ago

cube root of 64/125

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Answered by Anonymous

$\huge{\mathfrak{\purple{h}\green{e}\red{l}\pink{l}\blue{o}}}$

$\huge\green{\underline{\textbf{Solution}}}$

$\large\red{\underline{\textbf{Cube\:Root\:Of\:64}}}$

$\large\blue{\underline{\textbf{AFTER\:PRIME\: FACTORISATION}}}$

64 = 2x2x2 x 2x2x2 We have to form triplets..

(If triplets are not formed than that number is not a perfect square...)

So ³✓ 64 = 2x2 (From each triplets we should take one number.)

So,

$\sqrt[3]{64} \: \: is \: \: 4$

WE WILL DO SAME FOR CUBE ROOT OF 125

$\large\red{\underline{\textbf{Cube Root Of 125}}}$

$\large\blue{\underline{\textbf{AFTER\:PRIME\: FACTORISATION}}}$

125 = 5x5x5 We have to form triplets.. As one triplet is formed so,

³✓ 125 = 5

$\sqrt[3]{125} \: \: is \: \: 5$

$\large\green{\underline{\overline{\underbrace{\overbrace{\textbf{FINALLY...}}}}}}$

$\sqrt[3] \frac{64}{125} \: \: is \: \: \frac{4}{5}$

YOU CAN ALSO DIRECTLY WRITE WITHOUT CALCULATION BECAUSE THESE WERE BASIC CUBES...

IF YOU WERE ASKING FOR INDIVIDUAL CUBES THAN

$\sqrt[3]{64} \: is \: 4 \\ \sqrt[3]{125} \: is \: 5$

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ANSWER BY MANAS817

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