Watch the video and then solve the problem given below. Click here to watch the video. Express in terms of \( i \). \( \sqrt{-75} \) \( \sqrt{-75}=\square \) (Simplify your answer. Type your answer in the form a + bi.)

To express \( \sqrt{-75} \) in terms of \( i \), we can start by factoring out the negative sign. We know that \( \sqrt{-1} = i \), so we can rewrite the expression as: \[ \sqrt{-75} = \sqrt{75} \cdot \sqrt{-1} = \sqrt{75} \cdot i. \] Next, we simplify \( \sqrt{75} \). Since \( 75 = 25 \times 3 \), we can further simplify it: \[ \sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \cdot \sqrt{3} = 5\sqrt{3}. \] Putting it all together, we have: \[ \sqrt{-75} = 5\sqrt{3} \cdot i. \] So, the simplified answer is: \[ \sqrt{-75} = 0 + 5\sqrt{3}i. \]