Question

write $sqrt{64} - sqrt{-289}$ as a complex number in the form of $a + bi$.
a. $8 - 17i$
b. $8 + 17i$
c. $17 + 8i$
d. $-17 - 8i$

Explanation:

Step1: Simplify positive square root

$\sqrt{64} = 8$

Step2: Simplify negative square root

$\sqrt{-289} = \sqrt{289 \times (-1)} = 17i$

Step3: Substitute into original expression

$8 - 17i$

Answer:

A. 8 - 17i