Question

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

Answer 1

`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)`