To solve for [tex]\( -\sqrt{10} \)[/tex], follow these steps:
1. Identify the square root of 10. The square root of a number [tex]\( x \)[/tex] is a value [tex]\( y \)[/tex] such that [tex]\( y^2 = x \)[/tex]. In this case, we need the square root of 10.
2. The square root of 10 is approximately 3.1622776601683795.
3. Now, we are interested in finding the negative of the square root of 10. This means we will take the result from step 2 and apply a negative sign to it.
4. By applying the negative sign, the result is approximately -3.1622776601683795.
Therefore, [tex]\( -\sqrt{10} \approx -3.1622776601683795 \)[/tex].
