# How do you rationalize denominator (8)/ (sqrt5+sqrt2)?

$\frac{8}{3}$ ($\sqrt{5}$ -$\sqrt{2}$)
Multiply the numerator and the denominator by the conjugate of $\sqrt{5}$ +$\sqrt{2}$ , which would be $\sqrt{5}$ - $\sqrt{2}$
On simplification we would have $\frac{8}{3}$($\sqrt{5}$-$\sqrt{2}$)
[ ($\sqrt{5}$+$\sqrt{2}$)($\sqrt{5}$ -$\sqrt{2}$) = (5-2)=3]