Evaluate
-9\sqrt{5}-15\sqrt{15}\approx -78.219361991
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-15\sqrt{15}-3\sqrt{15}\sqrt{3}
Use the distributive property to multiply -3\sqrt{15} by 5+\sqrt{3}.
-15\sqrt{15}-3\sqrt{3}\sqrt{5}\sqrt{3}
Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.
-15\sqrt{15}-3\times 3\sqrt{5}
Multiply \sqrt{3} and \sqrt{3} to get 3.
-15\sqrt{15}-9\sqrt{5}
Multiply -3 and 3 to get -9.
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