Question

If $\sqrt{a} + \sqrt{\dfrac{1}{a} }$ then $a + \dfrac{1}{a} = ?$

you can also explain me in you language!

Answer 1

$\sqrt{a} + \sqrt{ \frac{1}{a} } \\ \sqrt{a} + \frac{ \sqrt{1} }{ \sqrt{a} } \\ \frac{ \sqrt{a}( \sqrt{a}) + 1 }{ \sqrt{a} } \: \: = \frac{( \sqrt{a})^{2} + 1 }{ \sqrt{a} } \\ \frac{a + 1}{ \sqrt{a} } \: \: \\ then \: a \\ a + \frac{1}{a} = \frac{a(a) + 1}{a} \\ \frac{ {a}^{2} + 1 }{a}$