How do you simplify (-3-sqrt2)/(3sqrt17)?

May 21, 2018

$\frac{- 9 \sqrt{17} - 3 \sqrt{34}}{153}$

Explanation:

$\frac{- 3 - \sqrt{2}}{3 \sqrt{17}}$

you rationalize the denominator using:

$\frac{3 \sqrt{17}}{3 \sqrt{17}} = 1$

$\frac{- 3 - \sqrt{2}}{3 \sqrt{17}} \cdot \frac{3 \sqrt{17}}{3 \sqrt{17}}$

$\frac{- 9 \sqrt{17} - 3 \sqrt{34}}{{3}^{2} \cdot {\left(\sqrt{17}\right)}^{2}}$

$\frac{- 9 \sqrt{17} - 3 \sqrt{34}}{9 \cdot 17}$

$\frac{- 9 \sqrt{17} - 3 \sqrt{34}}{153}$