Evaluate
375\left(\sqrt{10}+5\sqrt{2}\right)\approx 3837.504552013
Factor
375 {(\sqrt{10} + 5 \sqrt{2})} = 3837.504552013
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375\sqrt{10}\sqrt{5}+375\sqrt{10}
Use the distributive property to multiply 125\sqrt{10} by 3\sqrt{5}+3.
375\sqrt{5}\sqrt{2}\sqrt{5}+375\sqrt{10}
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}.
375\times 5\sqrt{2}+375\sqrt{10}
Multiply \sqrt{5} and \sqrt{5} to get 5.
1875\sqrt{2}+375\sqrt{10}
Multiply 375 and 5 to get 1875.
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