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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