How do you rationalize $sqrt(x/5)$ ?

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Answer 1 · 2018-03-07T02:56:07

See a solution process below:

First, rewrite the expression as:

$sqrt(x/5) => sqrt(x)/sqrt(5)$

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

$sqrt(x)/sqrt(5) => sqrt(5)/sqrt(5) xx sqrt(x)/sqrt(5) => (sqrt(5)sqrt(x))/(sqrt(5)sqrt(5)) = sqrt(5x)/5$

How do you rationalize sqrt(x/5)sqrt(x/5)?