Final answer to the problem
$\frac{\sqrt{a+3}\left(6+\sqrt{a+3}\right)}{33-a}$
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Step-by-step Solution
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression ((a+3)^(1/2))/(6-(a+3)^(1/2)). Multiply and divide the fraction \frac{\sqrt{a+3}}{6-\sqrt{a+3}} by the conjugate of it's denominator 6-\sqrt{a+3}. Multiplying fractions \frac{\sqrt{a+3}}{6-\sqrt{a+3}} \times \frac{6+\sqrt{a+3}}{6+\sqrt{a+3}}. Solve the product of difference of squares \left(6-\sqrt{a+3}\right)\left(6+\sqrt{a+3}\right).
Final answer to the problem
$\frac{\sqrt{a+3}\left(6+\sqrt{a+3}\right)}{33-a}$
