Question

Упростите выражение √12*√14*√28-√6

Answer 1

$sqrt{12}*sqrt{14}*sqrt{28}-sqrt6=sqrt{2*6}*sqrt{14}*sqrt{14*2}-sqrt6=\ sqrt2*sqrt6*sqrt{14}*sqrt{14}*sqrt2-sqrt6=2*14*sqrt6-sqrt6=\=28sqrt6-sqrt6=sqrt6(28-1)=27sqrt6$