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#