# Compound Surds

Algebra Level 2

Using the fact that $$(\sqrt{x}+\sqrt{y})^2=x+y+2\sqrt{xy}$$, find the square root of $$5+\sqrt{24}$$. This number can be expressed in the form $$\sqrt{a}+\sqrt{b}$$, where $$a\leq{b}$$. Find the exact value of $$b-a$$.

×