Evaluate
6\left(\sqrt{15}-40\right)\approx -216.762099923
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3\times 3\sqrt{15}-2\sqrt{60}+\sqrt{15}-240
Factor 135=3^{2}\times 15. Rewrite the square root of the product \sqrt{3^{2}\times 15} as the product of square roots \sqrt{3^{2}}\sqrt{15}. Take the square root of 3^{2}.
9\sqrt{15}-2\sqrt{60}+\sqrt{15}-240
Multiply 3 and 3 to get 9.
9\sqrt{15}-2\times 2\sqrt{15}+\sqrt{15}-240
Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.
9\sqrt{15}-4\sqrt{15}+\sqrt{15}-240
Multiply -2 and 2 to get -4.
5\sqrt{15}+\sqrt{15}-240
Combine 9\sqrt{15} and -4\sqrt{15} to get 5\sqrt{15}.
6\sqrt{15}-240
Combine 5\sqrt{15} and \sqrt{15} to get 6\sqrt{15}.
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