Упростите[latex] \frac{1}{ \sqrt{5}+ \sqrt{2} } + \frac{1}{ \sqrt{5}- \sqrt{2} } [/latex]

Question

Упростите[latex] \frac{1}{ \sqrt{5}+ \sqrt{2} } + \frac{1}{ \sqrt{5}- \sqrt{2} } [/latex]

Алгебра

Упростите [latex] \frac{1}{ \sqrt{5}+ \sqrt{2} } + \frac{1}{ \sqrt{5}- \sqrt{2} } [/latex]

Гость

Ответ(ы) на вопрос:

Accepted Answer

[latex] \frac{1}{ \sqrt{5}+ \sqrt{2} } + \frac{1}{ \sqrt{5}- \sqrt{2} } = \frac{\sqrt{5}- \sqrt{2}}{( \sqrt{5}- \sqrt{2})(\sqrt{5}+ \sqrt{2})} + \frac{\sqrt{5}+ \sqrt{2}}{( \sqrt{5}- \sqrt{2})(\sqrt{5}+ \sqrt{2}) } = \frac{2\sqrt{5}}{3}[/latex]