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PLEASE HELP 25 POINTS

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

User Bounce
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1 Answer

4 votes

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)

User AyushKatiyar
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