Question

Вычислите
$(3sqrt{32}+sqrt{162}-2sqrt{288})*sqrt{2}+15$

Answer 1

$(3sqrt{32}+sqrt{162}-2sqrt{288})*sqrt{2}+15=(3sqrt{16*2}+sqrt{81*2}-2sqrt{144*2})sqrt{2}+15=(12sqrt{2}+9sqrt{2}-24sqrt{2})sqrt{2}+15=(-3sqrt{2})sqrt{2}+15=-6+15=9$