Final Answer
$\frac{\sqrt{a+5}-3}{\sqrt{a}-2}$
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Step-by-step Solution
Specify the solving method
1
Simplify $\frac{\left(\sqrt{a+5}-3\right)\left(\sqrt{a}+2\right)}{a-4}$
$\frac{\sqrt{a+5}-3}{\sqrt{a}-1\cdot 2}$
2
Multiply $-1$ times $2$
$\frac{\sqrt{a+5}-3}{\sqrt{a}-2}$
Final Answer
$\frac{\sqrt{a+5}-3}{\sqrt{a}-2}$