How do you simplify $- \frac{6}{5 - \sqrt{11}}$ $-6/(5-sqrt11)$ ?

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How do you simplify $- \frac{6}{5 - \sqrt{11}}$ $-6/(5-sqrt11)$ ?

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Answer 1 · 2017-05-23T20:16:32

See below.

Explanation:

We have to rationalize the denominator by multiplying by the conjugate ( $5 + \sqrt{11}$ $5+sqrt11$ ).

$- \frac{6}{5 - \sqrt{11}} \cdot \frac{5 + \sqrt{11}}{5 + \sqrt{11}} = - \frac{6 (5 + \sqrt{11})}{25 - 11} = - \frac{30 + 6 \sqrt{11}}{14}$ $-6/(5-sqrt11)*(5+sqrt11)/(5+sqrt11)=-(6(5+sqrt11))/(25-11)=-(30+6sqrt11)/(14)$

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How do you simplify $- \frac{6}{5 - \sqrt{11}}$ $-6/(5-sqrt11)$ ?

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