Question

If x = V3+V2, then the value of x- is equal to ​

Answer 1

Answer:

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

Step-by-step explanation:

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