Hi,
Could anyone run me through getting from this:
$\displaystyle 2\sqrt(6) + 5 = p/q$
to this:
$\displaystyle \sqrt(6) = (p - 5q)/(10q)$
I can't see how it could be done!
Thanks
$\displaystyle 2\sqrt{6} + 5 = \frac{p}{q}$
$\displaystyle \implies 2\sqrt{6} = \frac{p}{q} - 5$
$\displaystyle \implies \sqrt{6} = \frac{1}{2}\cdot\frac{p}{q} - \frac{5}{2}$
$\displaystyle \implies \sqrt{6} = \frac{p}{2q} - \frac{5q}{2q}$
$\displaystyle \implies \sqrt{6} = \frac{p-5q}{2q}$