How do you rationalize the denominator and simplify $(-24sqrt45)/(72sqrt20)$ ?

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Answer 1 · 2017-08-05T00:28:50

$-1/2$

First, simplify as much as possible:

$(-24sqrt45)/(72sqrt20$

$24/72=1/3$ , so

$(-sqrt45)/(3sqrt20$

Simplify the radicals as much as possible:

$45=3*3*5$
$sqrt 45=3sqrt5$

$20=2*2*5$
$sqrt20=2sqrt5$

Replace:

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

Simplify:

$-(1)/(2$

How do you rationalize the denominator and simplify (-24sqrt45)/(72sqrt20)(-24sqrt45)/(72sqrt20)?