SOLUTION: I need to write the answer in the exact, simplified form: What is the perimeter of a rectangle with a length of 3 times the square root of 5 and a width of 4 times the square root

Question 283246: I need to write the answer in the exact, simplified form: What is the perimeter of a rectangle with a length of 3 times the square root of 5 and a width of 4 times the square root of 10? I got to 6 times the square root of 5 plus 8 times the square root of 10. Where do I take it from there for the exact simplified form of the answer?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
I need to write the answer in the exact, simplified form: What is the perimeter of a rectangle with a length of 3 times the square root of 5 and a width of 4 times the square root of 10?
Length = 3sqrt5
width = 4sqrt10
Perimeter = 2(3sqrt5 +4sqrt10)
=6sqrt5+8sqrt10
(8sqrt10= 8sqrt2*5 = 8*sqrt2*sqrt5)
=6sqrt5 +8sqrt2*sqrt5
=2sqrt5(3+4sqrt2)
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