Question

Find the square root of the following by prime factorization method
a) 4096 b) 1664

Answer 1

$4096=2^{12}$

$\sqrt{4096}=(2^{12}{)}^{\frac{1}{2}}=2^6$

$1664=2^7\times 13$

$\sqrt{1664}=2\sqrt{26}$