Question

Simplificar: $\sqrt{15+\sqrt{200} }$

Answer 1

Respuesta:

= $\sqrt{15+\sqrt{200} }$

= $\sqrt{200} =10\sqrt{2}$

=$\sqrt{10+10\sqrt{2} } +5$

=$\sqrt({\sqrt{5} } \sqrt{2} +\sqrt{5})^{2}$

=$\sqrt{5}\sqrt{2} +\sqrt{5}$

= $\sqrt{5} \sqrt{2} =\sqrt{10}$

listo , la respuesta es =$\sqrt{10} +\sqrt{5}$