bmit Assignment Quiz 8 Question 2 of 8 Step 1 of 1 Simplify the following expression. \[ -\sqrt{32} \]

To simplify \(-\sqrt{32}\), first, break down \(32\) into its prime factors. You can express \(32\) as \(16 \times 2\), where \(16\) is a perfect square. This means we can write: \[ -\sqrt{32} = -\sqrt{16 \times 2} = -\sqrt{16} \times \sqrt{2} = -4\sqrt{2} \] So, the simplified expression is \(-4\sqrt{2}\). For anyone looking to understand square roots better, remember that simplifying square roots allows us to express them in a more manageable form, especially helpful in algebraic expressions and calculations! Plus, knowing how to factor out perfect squares not only makes simplifying easier but also prepares you for solving equations involving roots.