What is the square root of 24/ the square root of 6?

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What is the square root of 24/ the square root of 6?

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Answer 1 · 2018-04-21T16:19:08

$\frac{\sqrt{24}}{\sqrt{6}} = \pm 2$ $sqrt(24)/sqrt(6) = pm 2$

Explanation:

Square roots are easier to deal with when you remember a few rules. First, $\sqrt{x} \cdot \sqrt{y} = \sqrt{x \cdot y}$ $sqrt(x) * sqrt(y) = sqrt(x*y)$ . Second, $\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{\frac{x}{y}}$ $sqrt(x)/sqrt(y) = sqrt(x / y)$ .

This problem makes use of the latter rule. We have $\frac{\sqrt{24}}{\sqrt{6}}$ $sqrt(24)/sqrt(6)$ . This equals $\sqrt{\frac{24}{6}} = \sqrt{4} = \pm 2$ $sqrt(24/6) = sqrt(4) = pm2$ . We must add the plus-or-minus sign because $2^{2} = 4$ $2^2 = 4$ and ${(- 2)}^{2} = 4$ $(-2)^2 = 4$ .

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What is the square root of 24/ the square root of 6?

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