How do you rationalize the denominator and simplify $\frac{12}{\sqrt{13}}$ $12/sqrt13$ ?

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How do you rationalize the denominator and simplify $\frac{12}{\sqrt{13}}$ $12/sqrt13$ ?

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Answer 1 · 2018-05-18T10:33:52

$\frac{12 \sqrt{13}}{13}$ $(12sqrt13)/13$

Explanation:

To rationalise the denominator for $\frac{a}{\sqrt{b}}$ $a/sqrtb$ you multiply by $\frac{\sqrt{b}}{\sqrt{b}}$ $sqrtb/sqrtb$ since this turns the $\sqrt{b}$ $sqrtb$ on the bottom into a $b$ $b$ , and is the same as multiply by $1$ $1$ .

$\frac{12}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}} = \frac{12 \sqrt{13}}{13}$ $12/sqrt13*sqrt13/sqrt13=(12sqrt(13))/13$

Since $\frac{12}{13}$ $12/13$ cannot be simplified, we leave it as $\frac{12 \sqrt{13}}{13}$ $(12sqrt13)/13$

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How do you rationalize the denominator and simplify $\frac{12}{\sqrt{13}}$ $12/sqrt13$ ?

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How do you rationalize the denominator and simplify 12/sqrt1312√1312/sqrt13?

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How do you rationalize the denominator and simplify $\frac{12}{\sqrt{13}}$ $12/sqrt13$ ?