se the imaginary number $$ i $$ to rewrite the expression below as a complex number. Simplify $$ \sqrt{-39} $$

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To rewrite the expression $$ \sqrt{-39} $$ as a complex number using the imaginary unit $$ i $$, follow these steps:

1. **Understand the Imaginary Unit $$ i $$:**
   
   The imaginary unit $$ i $$ is defined as:
   $$
   i = \sqrt{-1}
   $$
   
2. **Rewrite $$ \sqrt{-39} $$:**
   
   Use the property of square roots involving negative numbers:
   $$
   \sqrt{-39} = \sqrt{39} \cdot \sqrt{-1} = \sqrt{39} \cdot i
   $$
   
3. **Express as a Complex Number:**
   
   A complex number is generally written in the form $$ a + bi $$, where $$ a $$ is the real part and $$ b $$ is the imaginary part. In this case, there is no real part, so $$ a = 0 $$:
   $$
   \sqrt{-39} = 0 + \sqrt{39}i
   $$
   
   However, it's common to simply write it as:
   $$
   \sqrt{39}i
   $$

**Final Answer:**
$$
\sqrt{-39} = \sqrt{39}\,i
$$
$$ \sqrt{-39} = \sqrt{39}\,i $$

se the imaginary number to rewrite the expression below as a complex number. Simplify

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