Evaluate
\sqrt{10}+5\sqrt{2}\approx 10.233345472
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\sqrt{5}\sqrt{10}+\sqrt{5}\sqrt{2}
Use the distributive property to multiply \sqrt{5} by \sqrt{10}+\sqrt{2}.
\sqrt{5}\sqrt{5}\sqrt{2}+\sqrt{5}\sqrt{2}
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\sqrt{2}+\sqrt{5}\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
5\sqrt{2}+\sqrt{10}
To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.
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