How do you rationalize the denominator and simplify $\frac{- 2 \sqrt{5}}{3 \sqrt{2}}$ $(-2sqrt5)/( 3sqrt2)$ ?

Question

1550 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-09T05:44:17

$- \frac{\sqrt{10}}{3}$ $-sqrt10/3$

Multiply the surd conjugate to get rid of $\sqrt{2}$ $sqrt2$ .

$\frac{- 2 \sqrt{5}}{3 \sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$ $(-2sqrt5)/(3sqrt2) * sqrt2/sqrt2$

$= \frac{- 2 \sqrt{10}}{3 \cdot 2}$ $= (-2sqrt10)/(3*2)$

$= \frac{- 2 \sqrt{10}}{6}$ $= (-2sqrt10)/6$

$- \frac{2}{6}$ $-2/6$ can be simplified to $- \frac{1}{3}$ $-1/3$

$= - \frac{\sqrt{10}}{3}$ $= -sqrt10/3$

How do you rationalize the denominator and simplify (-2sqrt5)/( 3sqrt2)−2√53√2(-2sqrt5)/( 3sqrt2)?