Hey, I'm really struggling with a question on my maths homework.
Express root5 +3/root 5 -2 in the form Proot5 + Q where P and Q are integers
I got 2root5
Is this right?
I could have misread the OP but I don't think so.
Let $\displaystyle u = \sqrt{5}$ so that the equation becomes $\displaystyle u + 3u - 2$
What I did was said that you can combine the u terms to give $\displaystyle 4u - 2$
And since $\displaystyle u = \sqrt{5}$ we get $\displaystyle 4\sqrt{5} - 2$
$\displaystyle 4$ and $\displaystyle -2$ are both integers so it does satisfy the terms