How do you simplify 5/ square root of 6?

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How do you simplify 5/ square root of 6?

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Answer 1 · 2018-06-20T04:16:29

$= \frac{5 \sqrt{6}}{6}$ $=(5sqrt6)/6$ (rationalized denominator)
or
$\approx 2.04$ $~~2.04$ (decimal form, rounded to nearest hundredth's place)

Explanation:

First, let's translate this into math:

$\frac{5}{\sqrt{6}}$ $5/sqrt6$

To simplify this, we need to rationalize, or simplify the denominator so that it only contains rational numbers. To do so, multiply both the numerator and denominator by $\sqrt{6}$ $color(blue)sqrt6$ :
$\frac{5}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}$ $5/sqrt6 color(blue)(*sqrt6/sqrt6)$

$= \frac{5 \sqrt{6}}{\sqrt{36}}$ $=(5sqrt6)/sqrt36$

$= \frac{5 \sqrt{6}}{6}$ $=(5sqrt6)/6$

The answer in decimal form (rounded to nearest hundredth's place) is $\approx 2.04$ $~~2.04$ .

Hope this helps!

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How do you simplify 5/ square root of 6?

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