Question

√3 + 1/2+√2.....
can we take direct LCM over here.... should we continue here by first rationalizing the 1/2+√2 term in order to solve the question?

Answer 1

I hope your question is

$\sqrt{3} + \frac{1}{2 + \sqrt{2} }$

You can solve it either by directly taking LCM and then rationalizing OR by first rationalizing and then taking LCM. It will take almost same effort and time.

I would suggest directly taking LCM and then rationalize at the end.