Question

(3√8+2)∗(4−2√18)

Answer 1

Pull all perfect square roots out from under the radical. In this case, remove the 2 because it is a perfect square.
((3*2sqrt(2))+2)*(4-2sqrt(18))

Multiply 3 by 2 to get 6.
((6)sqrt(2)+2)*(4-2sqrt(18))

Pull all perfect square roots out from under the radical. In this case, remove the 3 because it is a perfect square.
(6sqrt(2)+2)*(4+(-2*3sqrt(2)))

Multiply -2 by 3 to get -6.
(6sqrt(2)+2)*(4+(-6)sqrt(2))

Remove the parentheses around the expression -6.
(6sqrt(2)+2)*(4-6sqrt(2))

Multiply each term in the first group by each term in the second group using the FOIL method.
(12sqrt(2)-36sqrt(2)^(2)+8)

12sqrt(2)-72+8

12sqrt(2)-64