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Simplify -11sqrt 112
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Break the argument of the square root into a prime factorization, then pull out all the perfect squares from inside.\[-11\sqrt {112}=-11\sqrt{2^4*7}=-44\sqrt{7}\]
multiply by \[\sqrt{112}/\sqrt{112}\] gives \[-11 \times \sqrt{112}/112\\[= -11 \times4\sqrt{7}/112\]] \[= -11\sqrt{7}/28\]
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