Question: Multiply. \(\sqrt{5}(12 + \sqrt{6})\) Simplify your answer as much as possible.

Multiply.

\(\sqrt{5}(12 + \sqrt{6})\)

Simplify your answer as much as possible.

Solution

To solve the problem, we need to multiply and simplify the expression \(\sqrt{5}(12 + \sqrt{6})\). First, distribute \(\sqrt{5}\) to both terms inside the parentheses: \[ \sqrt{5} \cdot 12 + \sqrt{5} \cdot \sqrt{6} \] This simplifies to: \[ 12\sqrt{5} + \sqrt{30} \] The expression \(12\sqrt{5} + \sqrt{30}\) is already in its simplest form.