(8-xy)( \frac{ 1 }{ \sqrt{ 5 } } \sqrt{ 5) }
Evaluate
8-xy
Differentiate w.r.t. x
-y
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\left(8-xy\right)\times \frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\sqrt{5}
Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\left(8-xy\right)\times \frac{\sqrt{5}}{5}\sqrt{5}
The square of \sqrt{5} is 5.
\frac{\left(8-xy\right)\sqrt{5}}{5}\sqrt{5}
Express \left(8-xy\right)\times \frac{\sqrt{5}}{5} as a single fraction.
\frac{\left(8-xy\right)\sqrt{5}\sqrt{5}}{5}
Express \frac{\left(8-xy\right)\sqrt{5}}{5}\sqrt{5} as a single fraction.
\frac{\left(8-xy\right)\times 5}{5}
Multiply \sqrt{5} and \sqrt{5} to get 5.
8-xy
Cancel out 5 and 5.
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