Question

PLEASE HELP 25 POINTS What is −4√12+√75 in simplest radical form? Enter your answer in the box.

Answer 1

Answer: $-3\sqrt{3}$

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.

$-4\sqrt{12} + \sqrt{75}$

$-4\sqrt{4*3} + \sqrt{25*3}$

$-4\sqrt{4}*\sqrt{3} + \sqrt{25}*\sqrt{3}$

$-4*2*\sqrt{3} + 5*\sqrt{3}$

$-8\sqrt{3} + 5\sqrt{3}$

$(-8+5)\sqrt{3}$

$-3\sqrt{3}$