Question

Simplify $\sqrt{2704}+\sqrt{144}+\sqrt{289}$

Answer 1

Prime factors of 2704 are

$2704=$ $2\times 2\times 2\times 2\times 13\times 13$

so $\sqrt{2704}=2\times 2\times 13=52$

Prime factors of $144$ are $144=12\times 12$

$\sqrt{144}=12$

Prime factors of $289$ are $17\times 17$

so,$\sqrt{289}=17$

$\sqrt{2704}+\sqrt{144}+\sqrt{289}$

$=52+12+17$

$=81$