Evaluate
4\sqrt{15}+5\sqrt{2}\approx 22.563001197
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\sqrt{5}\sqrt{10}+4\sqrt{5}\sqrt{3}
Use the distributive property to multiply \sqrt{5} by \sqrt{10}+4\sqrt{3}.
\sqrt{5}\sqrt{5}\sqrt{2}+4\sqrt{5}\sqrt{3}
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}+4\sqrt{5}\sqrt{3}
Multiply \sqrt{5} and \sqrt{5} to get 5.
5\sqrt{2}+4\sqrt{15}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
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