Verified answer

Объяснение:

1) (√3/2-3√3/8+4√1,5)•2√2/3=

=2√(3/2•2/3)-6√(3/8•2/3)+8√(3/2•2/3)=

=2√1-6√1/4+8√1=2•1-6•1/2+8•1=2-3+8=7

2) (√0,75+3√1/27-√6,75)•√3=

=√(0,75•3+3√(1/27•3)-√(6,75•3)=

=√2,25+3√1/9-√20,25=

=1,5+3•1/3-4,5=1,5+1-4,5= -2

3) (³√1/6-³√36+³√4,5)•³√3/4=

=³√(1/6•3/4)-³√(36•3/4)+³√(4,5•3/4)=

=³√1/8-³√27+³√9/2•3/4=1/2-3+³√27/8=

=1/2-3+3/2=1/2-6/2+3/2= -2/2= -1

4) (⁴√125/27-⁴√375-1/⁴√135)•⁴√5/3=

=⁴√(125/27•5/3)-⁴√(375•5/3)-⁴√(1/135•5/3)=

=5/3-⁴√625-⁴√1/81=5/3-5-1/3=5/3-15/3-1/3=

= -11/3= -3 2/3