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balu736 [363]
2 years ago
6

Reduce the radical 176

Mathematics
1 answer:
kotykmax [81]2 years ago
5 0

Answer:  \boldsymbol{4\sqrt{11}}\\\\

Work Shown:

\sqrt{176}\\\\\sqrt{4*44}\\\\\sqrt{4}*\sqrt{44}\\\\2*\sqrt{4*11}\\\\2*\sqrt{4}*\sqrt{11}\\\\2*2*\sqrt{11}\\\\\boldsymbol{4\sqrt{11}}\\\\

The idea is to factor the number such that we pull out perfect square factors. We use the rule that \sqrt{x*y} = \sqrt{x}*\sqrt{y} to help break up the root. We also use the idea that \sqrt{x^2} = x when x is nonnegative.

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