help picture is attached ! medal & fan

Question

anonymous · Answer

@kropot72 @kohai @madyhughes @Jhannybean @amistre64 @mathmale @ganeshie8

mathstudent55 · Answer

$l^2 = 120$

$l = \sqrt{120} $

You need to simplify $\sqrt{120}$

anonymous · Answer

area of the square=a^2 a=the lenght of each side

anonymous · Answer

10.95 ?

anonymous · Answer

a=

$$\sqrt{120}$$

mathstudent55 · Answer

No. You just took the square root using a calculator. 
That gives you an approximate value.
The problem wants a simplified exact value.

anonymous · Answer

ohh ok i got D

mathstudent55 · Answer

To simplify the square root of 120, you need to find the largest perfect square factor of the 120.

anonymous · Answer

You should get $$2\sqrt{30}$$

mathstudent55 · Answer

The largest perfect square factor of 120 is 4.

This is how we simplify the root of 120:

$\sqrt{120} = \sqrt{4 \times 30} = \sqrt 4 \times \sqrt{30} = 2 \times \sqrt{30} = 2 \sqrt{30}$