The side length of a square is 4√2 feet, what is the length of the diagonal? (hint: draw a picture.)

If you drew a picture, you would get a right triangle with 2 equal legnt legs
(see attachment)
so

the side legnth is the legnth of each leg

remember
a^2+b^2=c^2
in a square, the sides are same legnth
therfor
a=b
2a^2=c^2
if a=4√2
2a^2=2(4√2)^2=2(16*2)=2(32)=64

64=c^2
sqrt both sides
8=c

the diagnoal is 8ft