Question

Rationalize and find a and b 5/4root2+3root3 =a root2+b root 3

Answer 1

Step-by-step explanation:

Hi. Aiyana here. Let's see.

So your question is 5/4√2+3√3=a√2+b√3

Let's keep a√2+b√3 aside for the time being.

Now, first we need to rationalize the denominator of this fraction. (you should know the concept of conjugate for that)

So here we go.

5x4√2-3√3/4√2+3√3x4√2-3√3

We get:

9√2-3√3/(4√2)²-(3√3)²

9√2-3√3/64-27

9√2-3√3/37

Hope it's correct and helps you.