Posted by **Jon** on Saturday, March 1, 2008 at 9:39am.

Assume that no denominator equals 0.

sqrt12 - sqrt18 + 3sqrt50 + sqrt75

= (sqrt2^2*3) - (sqrt2*3^2) + (3sqrt2*5^2) + (sqrt3*5^2)

= (sqrt2^2*sqrt3) - (sqrt3^2*sqrt2) + (3sqrt5^2*sqrt2) + (sqrt5^2*sqrt3)

= (2*sqrt3) - (3*sqrt2) + (3sqrt5*sqrt2) + (5*sqrt3)

= 7sqrt3 + sqrt2 + sqrt5(answer)

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