Intermediate Algebra M106 2 Squareroot 6 Squareroot 3Square

Intermediate Algebra M106 (2 Squareroot 6 + Squareroot 3)(Squareroot 6 + 5 Squareroot 3) =

Solution

( 2sqrt6 + sqrt3)(sqrt6 + 5sqrt3)

expand the bracket and multiply the terms:

2sqrt6*sqrt6 + 10sqrt6*sqrt3 + sqrt(6*3) + 5sqrt3*sqrt3

2*12 + 10sqrt18 + sqrt18 + 5*3

39 + 11sqrt18