Expressing surds in different forms

Question

I know this might get taken down for being a dumb question but I'm not exactly a genius when it comes to maths. So the question is I need to express 6/√2 in the form of a√b and a and b both need to be positive integers. Help me please.

Answer 1

What you should do here is to multiply and divide by $\surd 2$ and use the fact that $(\surd 2)(\surd 2)=2$, $$ \frac{6}{\surd 2}=\frac{6\surd 2}{(\surd 2)(\surd 2)}=\frac{6\surd 2}{2}=3\surd 2. $$