Question

Select the expression equal to the square root of 48

Answer 1

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.

$\sqrt{48}\\\sqrt{24*2}\\\sqrt{12*2*2}\\\sqrt{6*2*2*2}\\\sqrt{3*2*2*2*2}$

Now we can notice that there are four 2's. This means that we can write this as

$\sqrt{3*4^2} \\\sqrt{4^2} *\sqrt{3}$

And $\sqrt{4^2}$ can be simplified into 4

So our answer is $4\sqrt{3}$

*I want to note here that this could be the only answer anyway, because the rest of the answers aren't simplified. $\sqrt{4}=2,and\sqrt{16}=4$

Answer 2

Answer:

A.

Step-by-step explanation:

The square root of 48 is approx. 6.93

If you sq. root 3 it will equal approx. 1.73

1.73 x 4 = approx. 6.93

Hope this helps :)