SOLUTION: Multiply and simplify the square root of 20 by the square root of 40 by factoring?

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Question 401369: Multiply and simplify the square root of 20 by the square root of 40 by factoring?
Answer by Sarpi(32) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2820%29%2Asqrt%2840%29 = sqrt%28800%29
therefore,
sqrt%28800%29= sqrt%28100%2A8%29 "factoring"
= sqrt%28100%2A4%2A2%29 "further factoring of 8 (4*2)"
then = 10%2A2%2Asqrt%282%29 "the squares of sqrt%28100%29 and sqrt%284%29 gives 10 and 2"
= 20%2Asqrt%282%29
Hence factoring sqrt%2820%29%2Asqrt%2840%29will give 20%2Asqrt%282%29.