Question

What is −412−−√+75−−√

ANSWER: −−3√3

just took the test

Answer 1

Answer:
`-3√(3)`

This the expression
`-3*√(3)` or "-3 times the square root of 3"

`\rule{300}{1.5}`

Work Shown:

Factor each term inside the square root so that a perfect square is one of the pieces. Then break up the roots and simplify as shown below.

`-4√(12)+√(75)`

`-4√(4*3) +√(25*3)`

`-4√(4) *√(3) +√(25) *√(3)`

`-4*2*√(3) +5*√(3)`

`-8√(3)+5√(3)`

`(-8+5)√(3)`

`\bold{-3√(3)}`