Mathematics 10 — Exercise 1.1 · Q2 (iv)

Full question

Express the following expression in terms of i, where i² = −1.

Step-by-step solution

1. Separate the negative sign inside the square root: √(−a) = i√a for a > 0.

   $$\sqrt{-3}=\sqrt{3}\times i$$

2. Simplify the positive square root if possible, then substitute it into the expression.

   $$-\sqrt{3}\times i+\sqrt{2}$$

Answer

The final answer is shown below.