Mathematics 10 — Exercise 1.1 · Q2 (iii)

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.

   $$\sqrt{-16}=4\times i$$

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

   $$\frac{4\times i}{5}+\frac{2}{5}$$

Answer

The final answer is shown below.