we are given
[tex]\sqrt{144}[/tex]
Firstly, we will find all possible factors of 144
[tex]144=2\times 2\times 2\times 2\times 3\times 3[/tex]
we can also write as
[tex]144=(2\times 2)^2\times (3)^2[/tex]
now, we can put exponent to over entire term
[tex]144=(2\times 2\times 3)^2[/tex]
now, we can replace 144
[tex]\sqrt{144}=\sqrt{(2\times 2\times 3)^2}[/tex]
now, sqrt will get cancelled with square
and we get
[tex]\sqrt{144}=(2\times 2\times 3)[/tex]
now, we can simplify it
[tex]\sqrt{144}=(4\times 3)[/tex]
[tex]\sqrt{144}=12[/tex].............Answer
