Evaluate
14\sqrt{7}-3\sqrt{5}\approx 30.332314422
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\sqrt{7}-3\sqrt{5}-\sqrt{28}+5\sqrt{63}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
\sqrt{7}-3\sqrt{5}-2\sqrt{7}+5\sqrt{63}
Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.
-\sqrt{7}-3\sqrt{5}+5\sqrt{63}
Combine \sqrt{7} and -2\sqrt{7} to get -\sqrt{7}.
-\sqrt{7}-3\sqrt{5}+5\times 3\sqrt{7}
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}.
-\sqrt{7}-3\sqrt{5}+15\sqrt{7}
Multiply 5 and 3 to get 15.
14\sqrt{7}-3\sqrt{5}
Combine -\sqrt{7} and 15\sqrt{7} to get 14\sqrt{7}.
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Limits
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