How do you simplify the expression $\sqrt{\frac{1}{5}} - \sqrt{5}$ $sqrt(1/5)-sqrt5$ ?

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How do you simplify the expression $\sqrt{\frac{1}{5}} - \sqrt{5}$ $sqrt(1/5)-sqrt5$ ?

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Answer 1 · 2017-07-29T19:46:46

See below.

Explanation:

$\sqrt{\frac{1}{5}} - \sqrt{5} = \frac{1}{\sqrt{5}} - \sqrt{5} = \frac{1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} - \sqrt{5} = \frac{\sqrt{5}}{5} - \sqrt{5} = \frac{\sqrt{5} - 5 \sqrt{5}}{5} = \frac{- 4 \sqrt{5}}{5}$ $sqrt(1/5)-sqrt5=1/sqrt(5)-sqrt5=1/sqrt(5)\cdot\sqrt(5)/sqrt(5)-sqrt5=\sqrt(5)/5-sqrt(5)=(sqrt(5)-5sqrt(5))/5=(-4sqrt(5))/5$

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How do you simplify the expression $\sqrt{\frac{1}{5}} - \sqrt{5}$ $sqrt(1/5)-sqrt5$ ?

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How do you simplify the expression $\sqrt{\frac{1}{5}} - \sqrt{5}$ $sqrt(1/5)-sqrt5$ ?