Evaluate
5\sqrt{5}\approx 11.180339887
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3\sqrt{5}+\sqrt{20}
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}.
3\sqrt{5}+2\sqrt{5}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
5\sqrt{5}
Combine 3\sqrt{5} and 2\sqrt{5} to get 5\sqrt{5}.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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