How do you rationalize $\sqrt{\frac{x}{5}}$ $sqrt(x/5)$ ?

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How do you rationalize $\sqrt{\frac{x}{5}}$ $sqrt(x/5)$ ?

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Answer 1 · 2018-03-07T02:56:07

See a solution process below:

Explanation:

First, rewrite the expression as:

$\sqrt{\frac{x}{5}} \Rightarrow \frac{\sqrt{x}}{\sqrt{5}}$ $sqrt(x/5) => sqrt(x)/sqrt(5)$

Next, multiply the fraction by the appropriate form of $1$ $1$ :

$\frac{\sqrt{x}}{\sqrt{5}} \Rightarrow \frac{\sqrt{5}}{\sqrt{5}} \times \frac{\sqrt{x}}{\sqrt{5}} \Rightarrow \frac{\sqrt{5} \sqrt{x}}{\sqrt{5} \sqrt{5}} = \frac{\sqrt{5 x}}{5}$ $sqrt(x)/sqrt(5) => sqrt(5)/sqrt(5) xx sqrt(x)/sqrt(5) => (sqrt(5)sqrt(x))/(sqrt(5)sqrt(5)) = sqrt(5x)/5$

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How do you rationalize $\sqrt{\frac{x}{5}}$ $sqrt(x/5)$ ?

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