Question

Find the square root of $9604$ by prime factorization.

Answer 1

Solve for the square root of given number

Given number is $9604$

$\therefore$By prime factorization,

$9604=2\times 2\times 7\times 7\times 7\times 7$

Applying square root on both sides,

$\sqrt{9604}=\sqrt{2\times 2\times 7\times 7\times 7\times 7}$

$=2\times 7\times 7$

$=98$

Hence, the square root of $9604$ is $98$.