Question

化简：（根号3+1）（根号（12*5）-根号15-根号5）/根号5

Answer 1

[(√3+1)(√12*5)-√15-√5]/√5

=[(√3+1)√12*√5-√15-√5]/√5

=√5[(√3+1)√12-√3-1]/√5

=(√3+1)*√12-√3-1

=(√3+1)*2√3-√3-1

=6+2√3-√3-1

=5+√3