Question

If x = √3-√2 , then value of (x + 1 / x) will be​

Answer 1

$x = \sqrt{3} - \sqrt{2}$

So,

$\frac{1}{x} = \frac{1}{ \sqrt{3} - \sqrt{2} } \\ \\ = \frac{1}{ \sqrt{3 } - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{\sqrt{3 } - \sqrt{2} } \\ \\ = \frac{ \sqrt{3} + \sqrt{2} }{ { (\sqrt{3} )}^{2} - {( \sqrt{2}) }^{2} } = \frac{ \sqrt{3} + \sqrt{2} }{3 - 2} \\ \\ = \frac{ \sqrt{3} + \sqrt{2} }{1} = \sqrt{3} + \sqrt{2}$

hope it will help u ✨☺️