Question

MEDALS PLEASE HELP

Answer 1

Multiply numerator and denominator by a factor that removes the radicals in the denominator:
$$
\cfrac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}=\cfrac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}\times\cfrac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}\\
=\cfrac{2+2\sqrt{5}\sqrt{2}+5}{2-5}=\cfrac{7+2\sqrt{10}}{-3}\\
=-\cfrac{1}{3}(7+2\sqrt{10})
$$

Answer 2

is that the answer?

Answer 3

That's the simplest form -- it can not be reduced further.

Answer 4

ok thank you