Final answer to the problem
$\frac{\sqrt{x+2}\left(\sqrt{x-2}-\sqrt{x+1}\right)}{x-3-x}$
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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 ((x+2)^(1/2))/((x-2)^(1/2)+(x+1)^(1/2)). Multiply and divide the fraction \frac{\sqrt{x+2}}{\sqrt{x-2}+\sqrt{x+1}} by the conjugate of it's denominator \sqrt{x-2}+\sqrt{x+1}. Multiplying fractions \frac{\sqrt{x+2}}{\sqrt{x-2}+\sqrt{x+1}} \times \frac{\sqrt{x-2}-\sqrt{x+1}}{\sqrt{x-2}-\sqrt{x+1}}. Solve the product of difference of squares \left(\sqrt{x-2}+\sqrt{x+1}\right)\left(\sqrt{x-2}-\sqrt{x+1}\right).
Final answer to the problem
$\frac{\sqrt{x+2}\left(\sqrt{x-2}-\sqrt{x+1}\right)}{x-3-x}$
