Use the imaginary number $$ i $$ to rewrite the expression below as a complex number. Simplify all radicals. $$ -15-\sqrt{-49} $$

Question

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To rewrite the expression $$ -15 - \sqrt{-49} $$ as a complex number, we'll use the imaginary unit $$ i $$, where $$ i = \sqrt{-1} $$.

1. **Simplify the Radical:**
   $$
   \sqrt{-49} = \sqrt{49 \cdot (-1)} = \sqrt{49} \cdot \sqrt{-1} = 7i
   $$

2. **Substitute Back into the Expression:**
   $$
   -15 - \sqrt{-49} = -15 - 7i
   $$

So, the expression $$ -15 - \sqrt{-49} $$ rewritten as a complex number is:

$$
-15 - 7i
$$

**Answer:** $$-15 - 7\,i$$
The expression $$ -15 - \sqrt{-49} $$ as a complex number is $$-15 - 7i$$.

Use the imaginary number \( i \) to rewrite the expression below as a complex number. Simplify all radicals. \( -15-\sqrt{-49} \)