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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

 

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

laugh  !

 Sep 7, 2021

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