How do you simplify #(2sqrt3+3sqrt2)(3sqrt3 -sqrt2)#?

1 Answer
Jul 6, 2016

Answer:

#12+7sqrt6#

Explanation:

#(2sqrt3+3sqrt2)(3sqrt3 -sqrt2)#

Each term in the first bracket has to be multiplied by each term in the other bracket.

Note: #sqrt3xxsqrt3 = sqrt3^2 = 3#

#(6sqrt3xxsqrt3) - (2sqrt3xxsqrt2) + (9sqrt2sqrt3) -(3sqrt2xxsqrt2)#

#6xx3 + (- 2sqrt6 + 9sqrt6) -3 xx2#

#18+7sqrt6 -6#

#12+7sqrt6#