Evaluate
3\sqrt{5}\approx 6.708203932
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5\sqrt{5}-\frac{10}{\sqrt{5}}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
5\sqrt{5}-\frac{10\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{10}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
5\sqrt{5}-\frac{10\sqrt{5}}{5}
The square of \sqrt{5} is 5.
5\sqrt{5}-2\sqrt{5}
Divide 10\sqrt{5} by 5 to get 2\sqrt{5}.
3\sqrt{5}
Combine 5\sqrt{5} and -2\sqrt{5} to get 3\sqrt{5}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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