Evaluate
30\sqrt{2}\approx 42.426406871
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2\times 5\sqrt{3}\sqrt{3}\sqrt{2}
Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.
2\times 5\times 3\sqrt{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.
10\times 3\sqrt{2}
Multiply 2 and 5 to get 10.
30\sqrt{2}
Multiply 10 and 3 to get 30.
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