How do you simplify $\frac{14}{\sqrt{11}}$ $14/sqrt 11$ ?

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How do you simplify $\frac{14}{\sqrt{11}}$ $14/sqrt 11$ ?

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Answer 1 · 2016-02-21T09:21:05

$\frac{14 \sqrt{11}}{11}$ $color(blue)((14sqrt11)/11)$

Explanation:

Since the given has an irrational deminator, Square Roots are not allowed in the denominator, we must rationalize the denominator.

$\frac{a}{\sqrt{b}} = \frac{a}{\sqrt{b}} \cdot \frac{\sqrt{b}}{\sqrt{b}} = \frac{a \sqrt{b}}{b}$ $a/sqrtb = a/sqrtb * sqrtb/sqrtb = (asqrtb)/b$

where $a > 0, b > 0, c > 0$ $a>0, b>0, c>0$

we can simply rationalize the denominator by simply multiplying the top and bottom by $\sqrt{11}$ $sqrt11$ .
$(\frac{14}{\sqrt{11}}) \cdot \frac{\sqrt{11}}{\sqrt{11}} = \frac{14 \sqrt{11}}{11}$ $(14/sqrt11)*sqrt11/sqrt11 = (14sqrt11)/11$

So the answer is:

$\frac{14 \sqrt{11}}{11}$ $(14sqrt11)/11$

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How do you simplify $\frac{14}{\sqrt{11}}$ $14/sqrt 11$ ?

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