How do you simplify #18/(6+sqrt(27m))#?

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How do you simplify #18/(6+sqrt(27m))#?

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Answer 1 · 2018-04-12T23:51:17

#(2sqrt(3m)-4)/m#

Explanation:

#18/(6+(sqrt(27m))# = #18/((sqrt(27m)+6)#
Now #(sqrt(27m)-6)/(sqrt(27m)-6)# is 1 so multiple that to #18/((sqrt(27m)+6)#,
#18/((sqrt(27m)+6)#*#(sqrt(27m)-6)/(sqrt(27m)-6)# = #(54sqrt(3m)-108)/(27m)#
Now simplify

=#(2sqrt(3m)-4)/m#

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How do you simplify #18/(6+sqrt(27m))#?

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