Question

Find the cube root of 4096 .

• A. 44
• B. 14
• C. 24
• D. 34

Answer 1

The correct option is B

14

Factorise 2744 into its prime factors.
$\begin{array}{cc}2& 2744\\ 2& 1372\\ 2& 686\\ 7& 343\\ 7& 49\\ 7& 7\\ & 1\end{array}$
Prime factors of 2744 = 2 $\times$ 2 $\times$ 2 $\times$ 7 $\times$ 7 $\times$7
So, cube root of 2744 = $\sqrt[3]{32^3\times 7^3}$
= 14