Final answer to the problem
$rational\left(\frac{\sqrt{2}}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{6}}{\sqrt{2+\sqrt{3}}}\right)$
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Step-by-step Solution
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- Write in simplest form
- Prime Factor Decomposition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
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1
Expand the fraction $\frac{\sqrt{2}+\sqrt{6}}{\sqrt{2+\sqrt{3}}}$ into $2$ simpler fractions with common denominator $\sqrt{2+\sqrt{3}}$
$rational\left(\frac{\sqrt{2}}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{6}}{\sqrt{2+\sqrt{3}}}\right)$
Final answer to the problem
$rational\left(\frac{\sqrt{2}}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{6}}{\sqrt{2+\sqrt{3}}}\right)$
