Evaluate
8\sqrt{7}\approx 21.166010489
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3\sqrt{7}+\sqrt{175}
Factor 63=3^{2}\times 7. Rewrite the square root of the product \sqrt{3^{2}\times 7} as the product of square roots \sqrt{3^{2}}\sqrt{7}. Take the square root of 3^{2}.
3\sqrt{7}+5\sqrt{7}
Factor 175=5^{2}\times 7. Rewrite the square root of the product \sqrt{5^{2}\times 7} as the product of square roots \sqrt{5^{2}}\sqrt{7}. Take the square root of 5^{2}.
8\sqrt{7}
Combine 3\sqrt{7} and 5\sqrt{7} to get 8\sqrt{7}.
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