Respuesta :
Answer: [tex]-3\sqrt{3}[/tex]
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.
[tex]-4\sqrt{12} + \sqrt{75}[/tex]
[tex]-4\sqrt{4*3} + \sqrt{25*3}[/tex]
[tex]-4\sqrt{4}*\sqrt{3} + \sqrt{25}*\sqrt{3}[/tex]
[tex]-4*2*\sqrt{3} + 5*\sqrt{3}[/tex]
[tex]-8\sqrt{3} + 5\sqrt{3}[/tex]
[tex](-8+5)\sqrt{3}[/tex]
[tex]-3\sqrt{3}[/tex]
