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Introduction to Rational Numbers

If the cube o...

Question

If the cube of $a^{3} = b$ , then cube root of b $=$

A

a^{2}

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B

a^{3}

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C

a

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D

b^{3}

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Solution

The correct option is A $a^{3}$
Given ${(a^{3})}^{3} = b$

$\Rightarrow \sqrt[3]{b} = \sqrt[3]{{(a^{3})}^{3}} = a^{3}$

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