How do you simplify 2 times the square root of 20?

1 Answer
Alan P.
Sep 11, 2015

2xxsqrt(20) = 4sqrt(5)

Explanation:

sqrt(20) = sqrt(2^2xx5) = sqrt(2^2)xxsqrt(5) = 2xxsqrt(5)

color(white)("XXX")(assuming only principal [non-negative] square roots)

2xxsqrt(20) = 2xx (2xxsqrt(5))

color(white)("XXX")=4xxsqrt(5)

color(white)("XXX")=4sqrt(5)

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