Could someone explain to me this equation ?
$W = 5\sqrt 2 + \sqrt3 $
$\frac{1}{w} = \frac {5\sqrt2 - \sqrt3}{47}$
Why does W+$\frac{1}{w}$
= $5\sqrt 2 + \sqrt3 +\frac {5\sqrt2 - \sqrt3}{47}$
= $5\sqrt 2 + \sqrt3 +\frac {5\sqrt2}{47} - \frac {\sqrt3}{47}$
equal
$= \frac {240\sqrt2+46\sqrt3}{47}$
$W = 5\sqrt 2 + \sqrt3 $
$\frac{1}{w} = \frac {5\sqrt2 - \sqrt3}{47}$
What is: W+$\frac{1}{w}$ ?
$$5\sqrt 2 + \sqrt 3 + \frac{5\sqrt 2 + \sqrt 3}{47}$$ $$\frac {47(5\sqrt 2 + \sqrt 3)}{47} + \frac{5\sqrt 2 + \sqrt 3}{47}$$ $$\frac {235 \sqrt2 + 47 \sqrt 3 + 5 \sqrt 2 - \sqrt 3}{47}$$ $$\frac {240 \sqrt 2 + 46 \sqrt 3}{47}$$