To solve the expression [tex]$-\sqrt{13}$[/tex], follow these steps:
1. Identify the Square Root:
- The square root function, denoted as [tex]$\sqrt{13}$[/tex], asks for a number which, when multiplied by itself, gives 13.
2. Approximate the Square Root:
- Estimating or calculating [tex]$\sqrt{13}$[/tex], we find that it is approximately 3.605551275463989 because:
[tex]\[
3.605551275463989 \times 3.605551275463989 \approx 13
\][/tex]
3. Apply the Negation:
- The expression includes a negative sign in front of the square root, thus negating the result of the square root. This means:
[tex]\[
-\sqrt{13} = -3.605551275463989
\][/tex]
Therefore, the solution to the expression [tex]$-\sqrt{13}$[/tex] is [tex]\(-3.605551275463989\)[/tex].
