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What is the answer to 2 times the square root of 18?

1 Answer

Jul 15, 2015

+6 times the square root of 2
or
-6 times the square root of 2

Explanation:

Two times the square root of 18
can be expressed algebraically as
$XXXX$ $color(white)("XXXX")$ $2 \cdot (\pm \sqrt{18})$ $2*(+-sqrt(18))$

Since $\sqrt{18} = \sqrt{3^{2} \cdot 2} = \sqrt{3^{2}} \cdot \sqrt{2} = 3 \sqrt{2}$ $sqrt(18) = sqrt(3^2*2) = sqrt(3^2)*sqrt(2) = 3sqrt(2)$

$2 \cdot (\pm \sqrt{18}) = \pm 6 \sqrt{2}$ $2*(+-sqrt(18)) = +- 6sqrt(2)$

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