Question

√10+5 делить на 2+√10

Answer 1

$\frac{ \sqrt{10} + 5 }{2 + \sqrt{10} } = \frac{ \sqrt{2} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} }{ \sqrt{2} \times \sqrt{2} + \sqrt{2} \times \sqrt{5} } = \frac{ \sqrt{5} (\sqrt{2} + \sqrt{5}) }{ \sqrt{2}( \sqrt{2} + \sqrt{5}) } = \frac{ \sqrt{5} }{ \sqrt{2} } = \sqrt{2.5}$