Simplify and rationalize the denominator.

Question

I'm getting different answers for this question. Please help.

 

4/3√2+4

Answer 1

I will assume that the √2 is in the denominator. That would make the most sense given the question.

 

I would start out by rationalizing the denominator, then simplifying.

 

To do this multiply the first term by 1. Well a 1 that actually looks like this √2 / √2.

 

If we multiply √2 * √2 it equals 2.

 

So, 4/(3*√2)*√2/√2 will equal 4√2/(3*2) or 4√2/6.

 

The equation then becomes 4√2/6+4. Simplify the first term should be much easier now. I will leave simplifying this equation rewritten as (4/6)*√2+4 up to you, Valerie.

 

I hope I have outlined the process well enough.