we are given
[tex]\sqrt{18}[/tex]
Firstly, we will find all possible factors of 18
[tex]18=2*3*3[/tex]
we can also write as
[tex]18=2*3^2[/tex]
now, we can plug back
[tex]\sqrt{18}=\sqrt{2*3^2} [/tex]
now, we can use property of exponent
[tex]\sqrt{a*b}=\sqrt{a}*\sqrt{b} [/tex]
[tex]\sqrt{18}=\sqrt{2}*\sqrt{3^2} [/tex]
now, we can simplify it
[tex]\sqrt{18}=\sqrt{2}*3 [/tex]
[tex]\sqrt{18}=3\sqrt{2} [/tex]...............Answer
