Question

I need to know the steps Please help me

Tell the steps to get 4+√15​

Answer 1

Step-by-step explanation:

$\sqrt{ \frac{4 + \sqrt{15} }{4 - \sqrt{15} } \times \frac{4 + \sqrt{15} }{4 + \sqrt{15} } }$

$= \sqrt{ \frac{ {(4 + \sqrt{15)} }^{2} }{ {4}^{2} - {( \sqrt{15)} }^{2} } }$

$= \sqrt{ \frac{ {(4 + \sqrt{15)} }^{2} }{16 - 15} }$

$= \sqrt{ \frac{ {(4 + \sqrt{15)} }^{2} }{1} } \\ = \sqrt{ {(4 + \sqrt{15)} }^{2} } \\ = 4 + \sqrt{15}$