Question

How can I solve this equation?
http://prntscr.com/67yjza
Thanks!

Answer 1

Maybe divide to get the \(x\) term by itself:
\[x = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}\]
Then rationalize the denominator by multiplying by the conjugate of the denominator (same as the denominator by with the sign of the \(\sqrt{2}\) term flipped):
\[x = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}} \times \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}\]

Answer 2

Thank you so much!