Question:
Find the square root of number by using the method of prime factorisation:
4096
Solution:
Resolving into prime factors:$4096=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
$\therefore \sqrt{4096}=2 \times 2 \times 2 \times 2 \times 2 \times 2=64$