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

1 Answer

Sep 11, 2015

$2 \times \sqrt{20} = 4 \sqrt{5}$ $2xxsqrt(20) = 4sqrt(5)$

Explanation:

$\sqrt{20} = \sqrt{2^{2} \times 5} = \sqrt{2^{2}} \times \sqrt{5} = 2 \times \sqrt{5}$ $sqrt(20) = sqrt(2^2xx5) = sqrt(2^2)xxsqrt(5) = 2xxsqrt(5)$

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

$2 \times \sqrt{20} = 2 \times (2 \times \sqrt{5})$ $2xxsqrt(20) = 2xx (2xxsqrt(5))$

$XXX = 4 \times \sqrt{5}$ $color(white)("XXX")=4xxsqrt(5)$

$XXX = 4 \sqrt{5}$ $color(white)("XXX")=4sqrt(5)$

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