Question

Calculati:
$\frac{-8}{2 \sqrt{5}+3 \sqrt{2} } + \frac{26}{ 3\sqrt{5}+4 \sqrt{2} } - \frac{8}{4 \sqrt{5}+6 \sqrt{2} }$

Answer 1

(-8)/(2√5+3√2) +26/(3√5+4√2)-8/(4√5+6√2)=
=(-8)(2√5-3√2)/(2√5+3√2)(2√5-3√2) +26(3√5-4√2)/(3√5+4√2)(3√5-4√2)-
-8(4√5-6√2)/(4√5+6√2)(4√5-6√2)=
=(-16√5+24√2)/(20-18) +(78√5-104√2)/(45-32)-(32√5-48√2)/(80-72)=
=(-16√5+24√2)/2 +(78√5-104√2)/13-(32√5-48√2)/8=
=-6√5+10√2