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Q.

Find the cube root of $27 \times 64$

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a

24

b

12

c

36

d

11

answer is B.

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Detailed Solution

Concept: Finding the cube root of

27 \times 64

by firstly find the prime numbers of these numbers, then find the cube root
Given, the numbers

27 \times 64

27 \times 64 = 3 \times 3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2

27 \times 64 = 3^{3} \times 2^{6}

\sqrt[3]{(27 \times 64)} = \sqrt[3]{(3^{3} \times 2^{6})}

\sqrt[3]{27 \times 64} = 3 \times 2^{2}

\sqrt[3]{27 \times 64} = 3 \times 4

\sqrt[3]{27 \times 64} = 12

Hence, the correct option is 2.

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