Question

PLEASE HELP 25 POINTS

What is −4√12+√75 in simplest radical form? Enter your answer in the box.

Answer 1

Answer:
`-3√(3)`

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

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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)`

`-3√(3)`