Evaluate
150\sqrt{2}\approx 212.132034356
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5\times 6\sqrt{5}\sqrt{2}\sqrt{5}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
5\times 6\times 5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
30\times 5\sqrt{2}
Multiply 5 and 6 to get 30.
150\sqrt{2}
Multiply 30 and 5 to get 150.
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