Factor
\frac{\sqrt{5b}\left(\sqrt{b}+1\right)}{5}
Evaluate
\frac{\sqrt{5b}\left(\sqrt{b}+1\right)}{5}
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factor(\frac{\left(b+\sqrt{b}\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}})
Rationalize the denominator of \frac{b+\sqrt{b}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
factor(\frac{\left(b+\sqrt{b}\right)\sqrt{5}}{5})
The square of \sqrt{5} is 5.
factor(\frac{b\sqrt{5}+\sqrt{b}\sqrt{5}}{5})
Use the distributive property to multiply b+\sqrt{b} by \sqrt{5}.
\sqrt{b}\sqrt{5}\left(\sqrt{b}+1\right)
Consider b\sqrt{5}+\sqrt{b}\sqrt{5}. Factor out \sqrt{b}\sqrt{5}.
\frac{\left(\sqrt{b}+1\right)\sqrt{5}\sqrt{b}}{5}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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