SOLUTION: I need to find the exact answer and simplify it using the rules for radicals. Diagonal of a patio. Find the length of the diagonal of a square patio with an area of 40 square m

Question 309658: I need to find the exact answer and simplify it using the rules for radicals.
Diagonal of a patio. Find the length of the diagonal of a
square patio with an area of 40 square meters.
Basic facts:
1. Area of a square = side2
2. Diagonal of a square = √2*side2

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x^2=40
x=sqrt40
x=6.325 ans. for the length of the sides.
s^2+s^2=d^2
2s^2=d^2
2*6.325^2=d^2
2*40=d^2
80=d^2
d=sqrt80
d=8.945 ans. for the diagonal of the square.
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