Use the imaginary number $$ i $$ to rewrite the expression below as a complex number. Simplify all radicals. $$ \sqrt{-1} $$

Question

UpStudy AI · Accepted Answer

To rewrite the expression $$\sqrt{-1}$$ using the imaginary number $$i$$, we use the fundamental definition of $$i$$:

$$
i = \sqrt{-1}
$$

So, the expression $$\sqrt{-1}$$ can be directly written as:

$$
i
$$

This is already in the standard form of a complex number $$a + bi$$, where $$a = 0$$ and $$b = 1$$. Therefore, the simplified complex number is:

$$
0 + i \quad \text{or simply} \quad i
$$

**Final Answer:**

$$
i
$$
$$ i $$

Use the imaginary number \( i \) to rewrite the expression below as a complex number. Simplify all radicals. \[ \sqrt{-1} \]