Question

Write the number in the form a+bi square root of -64+2?

Answer 1

Answer:

$\sqrt{-64}+2=2+8i$

Step-by-step explanation:

$i=\sqrt{-1}\\\\\sqrt{-64}=\sqrt{(64)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ for\ a\geq0\ and\ b\geq0\\\\=\sqrt{64}\cdot\sqrt{-1}=8\cdot i=8i\\\\\text{Therefore:}\\\\\sqrt{-64}+2=8i+2=2+8i$