Compound Surds

Algebra Level 1

Using the fact that (x+y)2=x+y+2xy(\sqrt{x}+\sqrt{y})^2=x+y+2\sqrt{xy}, find the square root of 5+245+\sqrt{24}.
This number can be expressed in the form a+b\sqrt{a}+\sqrt{b}, where aba\leq{b}.

Find the value of bab-a.

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