# How do you write an equation that shows a sum of two radicals with different radicands?

If both radicals are square roots, we can say we have $\sqrt{a} + \sqrt{b} = c$
We know that ${c}^{2} = {\left(\sqrt{a} + \sqrt{b}\right)}^{2} = {\sqrt{a}}^{2} + 2 \sqrt{a} \sqrt{b} + {\sqrt{b}}^{2} = a + b + 2 \sqrt{a b}$
$c = \sqrt{a + b + 2 a b}$