- #1

- 2,226

- 302

- Homework Statement
- Simplify:

$$\frac{\left( \sqrt{5}+\sqrt{3} \right) \left(\sqrt{5} + \sqrt{2} \right)}{\sqrt{5} + \sqrt{3} + \sqrt{2}}$$

- Relevant Equations
- Rationalization

I can do the question using brute force. First I multiply both the numerator and denominator by ##\sqrt{5} + \sqrt{3} - \sqrt{2}## then I simplify everything and rationalize again until no more square root in the denominator.

I want to ask if there is a trick to reduce the monstrous calculation

Thanks

I want to ask if there is a trick to reduce the monstrous calculation

Thanks