Evaluate
7\sqrt{15}-6\sqrt{14}\approx 4.660939103
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4\sqrt{15}+\sqrt{135}-\sqrt{504}
Factor 240=4^{2}\times 15. Rewrite the square root of the product \sqrt{4^{2}\times 15} as the product of square roots \sqrt{4^{2}}\sqrt{15}. Take the square root of 4^{2}.
4\sqrt{15}+3\sqrt{15}-\sqrt{504}
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}.
7\sqrt{15}-\sqrt{504}
Combine 4\sqrt{15} and 3\sqrt{15} to get 7\sqrt{15}.
7\sqrt{15}-6\sqrt{14}
Factor 504=6^{2}\times 14. Rewrite the square root of the product \sqrt{6^{2}\times 14} as the product of square roots \sqrt{6^{2}}\sqrt{14}. Take the square root of 6^{2}.
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