Correct option is (b) 5 + 2√6
Explanation: We know that \((\sqrt{a}+\sqrt{b}) * (\sqrt{a}+\sqrt{b}) = a + 2\sqrt{a}\sqrt{b} + b.\)
By applying that rule here, we get \((\sqrt{3}+\sqrt{2}) * (\sqrt{3}+\sqrt{2}) = 3 + 2\sqrt{3}\sqrt{2} + 2
= 5 + 2\sqrt{6}\) since \(\sqrt{a}\sqrt{b} = \sqrt{(ab)}\),
\(\sqrt{3}\sqrt{2} = \sqrt{(3*2)} = \sqrt{6}\).