Evaluate
2\sqrt{5}+15\sqrt{3}\approx 30.452898069
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3\times 5\sqrt{3}-7\sqrt{5}+9\sqrt{5}
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.
15\sqrt{3}-7\sqrt{5}+9\sqrt{5}
Multiply 3 and 5 to get 15.
15\sqrt{3}+2\sqrt{5}
Combine -7\sqrt{5} and 9\sqrt{5} to get 2\sqrt{5}.
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