Question

(Surds) Write √99 + √44 in the form a√b where a and b are integers

Answer 1

Because we know that $9 (11) = 99$ and $4(11) = 44$ then we can deduce that the simplified integer form must be $\sqrt{9} (\sqrt{11} )$ & $\sqrt{4} (\sqrt{11})$. So the correct answer becomes $3\sqrt{11} +2\sqrt{11}$, this means the final answer is $5\sqrt{11}$.