Simplify the following expression to a simplified fraction:
\[\frac{\frac{5}{\sqrt{80}}}{\sqrt{5}}.\]
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
\(\dfrac{5}{\sqrt{80}}:\sqrt{5}=\dfrac{5}{\sqrt{5\cdot 80}}=\dfrac{\sqrt{5}\cdot \sqrt{5}}{\sqrt{5\cdot 80}}=\sqrt{\dfrac{5}{80}}=\sqrt{\dfrac{1}{16}}=\color{blue}\dfrac{1}{4}\)
!