Question

How do you simplify (√2+√5) /( √2-√5)?

Answer 1

Answer:

$\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} - \sqrt{5} } \\ \\ \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} - \sqrt{5} } \times \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} + \sqrt{5} } \\ \\ \frac{( \sqrt{2} + \sqrt{5})^{2}}{( \sqrt{2}) {}^{2} - ( \sqrt{5}) {}^{2} } \\ \\ \frac{2 + 5 + 2 \sqrt{10} }{2 - 5} \\ \\ \frac{ 7 + 2 \sqrt{10} }{ - 3}$