Question
Find the cube root of $64$ by prime factorisation method.

Answer



Prime factorisation of $64$ is
$2 \times 2 \times 2 \times 2 \times 2 \times 2 [grouping the factors in triplets]$
$=2^3 \times 2^3=(2 \times 2)^3=4^3$
Therefore, $\sqrt[3]{{64}} = 4$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free