Question

Упростите выражение.
(√12 + √2)√3 – 0,5√24.

Answer 1

$(sqrt{12}+sqrt{2})*sqrt{3}-0,5sqrt{24}=(sqrt{4*3}+sqrt{2})*sqrt{3}-0,5*sqrt{4*6} =(2sqrt{3}+sqrt{2})*sqrt{3}-0,5*2sqrt{6}=2sqrt{3}*sqrt{3}+sqrt{2}*sqrt{3}-sqrt{6}=6+sqrt{6}-sqrt{6}=6$