Evaluate
10\sqrt{3}\approx 17.320508076
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\sqrt{50\times 3\times 2}
Multiply 10 and 5 to get 50.
\sqrt{150\times 2}
Multiply 50 and 3 to get 150.
\sqrt{300}
Multiply 150 and 2 to get 300.
10\sqrt{3}
Factor 300=10^{2}\times 3. Rewrite the square root of the product \sqrt{10^{2}\times 3} as the product of square roots \sqrt{10^{2}}\sqrt{3}. Take the square root of 10^{2}.
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