How do you simplify #(3-3sqrt(3a))/(4sqrt(8a))#?

1 Answer
Evan
Nov 17, 2017

#(3sqrt(2a))/(16a)-(3sqrt(6))/(16)#

Explanation:

#(3-3sqrt(3a))/(4sqrt(8a))#

Multiply both denominator and numerator by #sqrt(8a)#,
#(3-3sqrt(3a))/(4sqrt(8a))xx(sqrt(8a))/sqrt(8a)#
#=(3sqrt(8a)-3sqrt(24a^2))/(32a)#
#=(6sqrt(2a)-6asqrt(6))/(32a)#
#=(3sqrt(2a)-3asqrt(6))/(16a)#
#=(3sqrt(2a))/(16a)-(3sqrt(6))/(16)#

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