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How do you simplify $\frac{4}{\sqrt{5}}$ $4 / sqrt 5$ ?

1 Answer

Sep 29, 2015

$\frac{4}{\sqrt{5}} = \frac{4}{5} \sqrt{5}$ $4/sqrt(5) = 4/5sqrt(5)$
$XXXXXXXX$ $color(white)("XXXXXXXX")$ which some would consider a "simplification".

Explanation:

$\frac{4}{\sqrt{5}} = \frac{4}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = \frac{4 \sqrt{5}}{\sqrt{5} \cdot \sqrt{5}} = \frac{4 \sqrt{5}}{5}$ $4/sqrt(5) = 4/sqrt(5) * sqrt(5)/sqrt(5) = (4sqrt(5))/(sqrt(5)*sqrt(5)) = (4sqrt(5))/5$

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