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

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Answer 1 · 2017-04-09T05:44:17

$-sqrt10/3$

Multiply the surd conjugate to get rid of $sqrt2$ .

$(-2sqrt5)/(3sqrt2) * sqrt2/sqrt2$

$= (-2sqrt10)/(3*2)$

$= (-2sqrt10)/6$

$-2/6$ can be simplified to $-1/3$

$= -sqrt10/3$

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