Hey! :)
So here we need to simplify the square root. The easiest way to do this is split the number into it's lowest common factors.
[tex]\sqrt{48}\\\sqrt{24*2}\\\sqrt{12*2*2}\\\sqrt{6*2*2*2}\\\sqrt{3*2*2*2*2}[/tex]
Now we can notice that there are four 2's. This means that we can write this as
[tex]\sqrt{3*4^2} \\\sqrt{4^2} *\sqrt{3}[/tex]
And [tex]\sqrt{4^2}[/tex] can be simplified into 4
So our answer is [tex]4\sqrt{3}[/tex]
*I want to note here that this could be the only answer anyway, because the rest of the answers aren't simplified. [tex]\sqrt{4}=2,and\sqrt{16}=4[/tex]
