Rationalize expression (5+2√6)/(7+4√3)

[parry]

5+2 root 6 / 7+4root3 = a-b root3 find a and b

 

[MarkFL]

Hello and welcome to MHB! (Wave)

I've moved this thread to our elementary algebra forum, since this is a better fit for the problem and I've give the thread a descriptive title. We are given:

$$\frac{5+2\sqrt{6}}{7+4\sqrt{3}}=a-b\sqrt{3}$$

And instructed to find $a$ and $b$. Do you have any work to show or thoughts on how to begin?

 

[HOI]

Start by "rationalizing the denominator". That is, multiply both numerator and denominator of [math]\frac{5+ 2\sqrt{6}}{7+ 4\sqrt{3}}[/math] by [math]7- 4\sqrt{3}[/math].