# Math Help - Sum of two square roots

1. ## Sum of two square roots

I have been having trouble with this problem:

√a + √b = √3696 For all natural a and b

I tried different things but I just can't solve it

2. It is important to notice that $\sqrt{3696}=4\sqrt{231}$.

Hence $\sqrt{a}+\sqrt{b}=4\sqrt{231}$.

From this step you can choose any combination of root a's and root b's provided they add up to $4\sqrt{231}$.

I chose this combination:

$\sqrt{231}+3\sqrt{231}=4\sqrt{231}$

$\sqrt{231}+\sqrt{2079}=\sqrt{3696}$