Рациональный знаменатель
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$$1$$
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___ ___ 7 11 \/ 15
2 - \/ 3 - 2*\/ 5 + ------------- + ----------- + -------------
___ ___ ___ ___ ___
\/ 3 + \/ 5 1 + 2*\/ 3 \/ 3 + \/ 5
$$- 2 \sqrt{5} - \sqrt{3} + \frac{\sqrt{15}}{\sqrt{3} + \sqrt{5}} + \frac{7}{\sqrt{3} + \sqrt{5}} + 2 + \frac{11}{1 + 2 \sqrt{3}}$$
2 - sqrt(3) - 2*sqrt(5) + 7/(sqrt(3) + sqrt(5)) + 11/(1 + 2*sqrt(3)) + sqrt(15)/(sqrt(3) + sqrt(5))
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___ 11 7 + \/ 15 / ___\ / ___\
- \/ 3 + ----------- + ------------- + \1 + \/ 5 /*\-3 + \/ 5 /
___ ___ ___
2*\/ 3 + 1 \/ 3 + \/ 5
$$\left(-3 + \sqrt{5}\right) \left(1 + \sqrt{5}\right) - \sqrt{3} + \frac{11}{1 + 2 \sqrt{3}} + \frac{\sqrt{15} + 7}{\sqrt{3} + \sqrt{5}}$$
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___ 11 7 + \/ 15 / ___\ / ___\
- \/ 3 + ----------- + ------------- + \1 + \/ 5 /*\-3 + \/ 5 /
___ ___ ___
1 + 2*\/ 3 \/ 3 + \/ 5
$$\left(-3 + \sqrt{5}\right) \left(1 + \sqrt{5}\right) - \sqrt{3} + \frac{11}{1 + 2 \sqrt{3}} + \frac{\sqrt{15} + 7}{\sqrt{3} + \sqrt{5}}$$
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___ 11 7 + \/ 15 / ___\ / ___\
- \/ 3 + ----------- + ------------- - \1 + \/ 5 /*\3 - \/ 5 /
___ ___ ___
1 + 2*\/ 3 \/ 3 + \/ 5
$$- \left(1 + \sqrt{5}\right) \left(- \sqrt{5} + 3\right) - \sqrt{3} + \frac{11}{1 + 2 \sqrt{3}} + \frac{\sqrt{15} + 7}{\sqrt{3} + \sqrt{5}}$$
-sqrt(3) + 11/(1 + 2*sqrt(3)) + (7 + sqrt(15))/(sqrt(3) + sqrt(5)) - (1 + sqrt(5))*(3 - sqrt(5))
___ ___ ____
6 + \/ 3 + \/ 5 + 2*\/ 15
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/ ___\ / ___ ___\
\1 + 2*\/ 3 /*\\/ 3 + \/ 5 /
$$\frac{\sqrt{3} + \sqrt{5} + 6 + 2 \sqrt{15}}{\left(1 + 2 \sqrt{3}\right) \left(\sqrt{3} + \sqrt{5}\right)}$$
(6 + sqrt(3) + sqrt(5) + 2*sqrt(15))/((1 + 2*sqrt(3))*(sqrt(3) + sqrt(5)))
Объединение рациональных выражений
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___ ___ / ___\ / ____\ ___ / ___\ / ___ ___\ / ___\ / ___\ / ___\ / ___ ___\
11*\/ 3 + 11*\/ 5 + \1 + 2*\/ 3 /*\7 + \/ 15 / - \/ 3 *\1 + 2*\/ 3 /*\\/ 3 + \/ 5 / + \1 + \/ 5 /*\1 + 2*\/ 3 /*\-3 + \/ 5 /*\\/ 3 + \/ 5 /
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/ ___\ / ___ ___\
\1 + 2*\/ 3 /*\\/ 3 + \/ 5 /
$$\frac{\left(-3 + \sqrt{5}\right) \left(1 + 2 \sqrt{3}\right) \left(1 + \sqrt{5}\right) \left(\sqrt{3} + \sqrt{5}\right) - \sqrt{3} \cdot \left(1 + 2 \sqrt{3}\right) \left(\sqrt{3} + \sqrt{5}\right) + 11 \sqrt{3} + 11 \sqrt{5} + \left(1 + 2 \sqrt{3}\right) \left(\sqrt{15} + 7\right)}{\left(1 + 2 \sqrt{3}\right) \left(\sqrt{3} + \sqrt{5}\right)}$$
(11*sqrt(3) + 11*sqrt(5) + (1 + 2*sqrt(3))*(7 + sqrt(15)) - sqrt(3)*(1 + 2*sqrt(3))*(sqrt(3) + sqrt(5)) + (1 + sqrt(5))*(1 + 2*sqrt(3))*(-3 + sqrt(5))*(sqrt(3) + sqrt(5)))/((1 + 2*sqrt(3))*(sqrt(3) + sqrt(5)))