Question

Compute the following radical. sq root 144

Answer 1

we are given

$\sqrt{144}$

Firstly, we will find all possible factors of 144

$144=2\times 2\times 2\times 2\times 3\times 3$

we can also write as

$144=(2\times 2)^2\times (3)^2$

now, we can put exponent to over entire term

$144=(2\times 2\times 3)^2$

now, we can replace 144

$\sqrt{144}=\sqrt{(2\times 2\times 3)^2}$

now,  sqrt will get cancelled with square

and we get

$\sqrt{144}=(2\times 2\times 3)$

now, we can simplify it

$\sqrt{144}=(4\times 3)$

$\sqrt{144}=12$.............Answer