e the imaginary number $$ i $$ to rewrite the expression below as a complex number. Simplify radicals. $$ -4-\sqrt{-29} $$

Question

UpStudy AI · Accepted Answer

To rewrite the expression $$-4 - \sqrt{-29}$$ as a complex number, we can use the imaginary unit $$i$$, where $$i = \sqrt{-1}$$.

First, express $$\sqrt{-29}$$ in terms of $$i$$:

$$
\sqrt{-29} = \sqrt{29} \cdot \sqrt{-1} = \sqrt{29} \cdot i = i\sqrt{29}
$$

Now, substitute this back into the original expression:

$$
-4 - \sqrt{-29} = -4 - i\sqrt{29}
$$

So, the expression $$-4 - \sqrt{-29}$$ as a complex number is:

$$
-4 - i\sqrt{29}
$$

**Final Answer:**  
After simplifying, the complex number is –4 minus √29 times i. Thus,

–4 − i √29
The expression $$-4 - \sqrt{-29}$$ as a complex number is $$-4 - i\sqrt{29}$$.

e the imaginary number \( i \) to rewrite the expression below as a complex number. Simplify radicals. \( -4-\sqrt{-29} \)