Evaluate
75\sqrt{10}\approx 237.170824513
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3\times 5\sqrt{5}\sqrt{5}\sqrt{10}
Factor 50=5\times 10. Rewrite the square root of the product \sqrt{5\times 10} as the product of square roots \sqrt{5}\sqrt{10}.
3\times 5\times 5\sqrt{10}
Multiply \sqrt{5} and \sqrt{5} to get 5.
15\times 5\sqrt{10}
Multiply 3 and 5 to get 15.
75\sqrt{10}
Multiply 15 and 5 to get 75.
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