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Simplify the following expression to a simplified fraction:
$\frac{\frac{5}{\sqrt{80}}}{\sqrt{5}}.$

Sep 7, 2021

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Simplify the following expression to a simplified fraction:$$\dfrac{\dfrac{5}{\sqrt{80}}}{\sqrt{5}}$$

Hallo Guest!

\frac{\frac{5}{\sqrt{80} }}{\sqrt{5}}

As it is in LaTeX, the denominator of the fraction is $$\sqrt{5}.$$ So

$$\dfrac{5}{\sqrt{80}}:\sqrt{5}=\dfrac{5}{\sqrt{5\cdot 80}}=\dfrac{\sqrt{5}\cdot \sqrt{5}}{\sqrt{5\cdot 80}}=\sqrt{\dfrac{5}{80}}=\sqrt{\dfrac{1}{16}}=\color{blue}\dfrac{1}{4}$$

!

Sep 7, 2021