Problem

Simplify the expression:
$-3 \sqrt{28}-3 \sqrt{112}$

Answer

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Answer

The simplified form of the expression $-3 \sqrt{28}-3 \sqrt{112}$ is $\boxed{-18\sqrt{7}}$

Steps

Step 1 :Simplify the expression: $-3 \sqrt{28}-3 \sqrt{112}$

Step 2 :The square root of 28 can be simplified by finding the largest perfect square that divides 28, which is 4. So, $\sqrt{28}$ can be simplified to $2\sqrt{7}$

Step 3 :Similarly, the square root of 112 can be simplified by finding the largest perfect square that divides 112, which is 16. So, $\sqrt{112}$ can be simplified to $4\sqrt{7}$

Step 4 :After simplifying the square roots, we can substitute them back into the original expression and simplify it further

Step 5 :The simplified form of the expression $-3 \sqrt{28}-3 \sqrt{112}$ is $\boxed{-18\sqrt{7}}$

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