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How do you simplify $\frac{- 6 + \sqrt{99}}{15}$ $(-6 + sqrt99) /15$ ?

1 Answer

Sep 7, 2017

$\frac{- 6 + \sqrt{99}}{15} = \frac{- 2 + \sqrt{11}}{5}$ $(-6+sqrt(99))/15=color(red)((-2+sqrt(11))/5)$

Explanation:

$\frac{- 6 + \sqrt{99}}{15}$ $(-6+sqrt(99))/15$
$XXX = \frac{- 3 \cdot 2 + \sqrt{9} \cdot \sqrt{11}}{3 \cdot 5}$ $color(white)("XXX")=(-3 * 2+ sqrt(9) * sqrt(11))/(3 * 5)$

$XXX = \frac{- 3 \cdot 2 + 3 \cdot \sqrt{11}}{3 \cdot 5}$ $color(white)("XXX")=(-3 * 2 + 3 * sqrt(11))/(3 * 5)$

$color(white)("XXX")=(cancel(3) * (-2+sqrt(11)))/(cancel(3) * 5)$

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