Question

Compute the following radical.
sq root 144

Answer 1

we are given

`√(144)`

Firstly, we will find all possible factors of 144

`144=2* 2* 2* 2* 3* 3`

we can also write as

`144=(2* 2)^2* (3)^2`

now, we can put exponent to over entire term

`144=(2* 2* 3)^2`

now, we can replace 144

`√(144)=√((2* 2* 3)^2)`

now, sqrt will get cancelled with square

and we get

`√(144)=(2* 2* 3)`

now, we can simplify it

`√(144)=(4* 3)`

`√(144)=12`.............Answer