Question

a is the real part
b is the imaginary part
simplify and write the result in standard form $a+bi$.

1. $-5$
2. $17i$
3. $5-\sqrt{-12}$

Explanation:

Step1: Rewrite -5 as complex form

$-5 = -5 + 0i$

Step2: Rewrite 17i as complex form

$17i = 0 + 17i$

Step3: Simplify $\sqrt{-12}$

$\sqrt{-12} = \sqrt{12 \times (-1)} = \sqrt{4 \times 3} \times i = 2\sqrt{3}i$

Step4: Rewrite $5-\sqrt{-12}$

$5 - \sqrt{-12} = 5 - 2\sqrt{3}i$

Answer:

1. $\boldsymbol{-5 + 0i}$
2. $\boldsymbol{0 + 17i}$
3. $\boldsymbol{5 - 2\sqrt{3}i}$