Evaluate
3\sqrt{5}-5\approx 1.708203932
Factor
3 \sqrt{5} - 5 = 1.708203932
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\left(\sqrt{5}\right)^{2}+5\sqrt{5}-2\sqrt{5}-10
Apply the distributive property by multiplying each term of \sqrt{5}-2 by each term of \sqrt{5}+5.
5+5\sqrt{5}-2\sqrt{5}-10
The square of \sqrt{5} is 5.
5+3\sqrt{5}-10
Combine 5\sqrt{5} and -2\sqrt{5} to get 3\sqrt{5}.
-5+3\sqrt{5}
Subtract 10 from 5 to get -5.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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