To approximate [tex]\(-2 + \sqrt{40}\)[/tex] to the nearest tenth, follow these steps:
1. Calculate the square root of 40:
The square root of 40 is approximately [tex]\(6.324555320336759\)[/tex].
2. Add [tex]\(-2\)[/tex] to the square root of 40:
[tex]\[
-2 + \sqrt{40} \approx -2 + 6.324555320336759 = 4.324555320336759
\][/tex]
3. Round the result to the nearest tenth:
The number [tex]\(4.324555320336759\)[/tex] rounded to the nearest tenth is [tex]\(4.3\)[/tex].
Therefore, [tex]\(-2 + \sqrt{40}\)[/tex] approximately equals [tex]\(4.3\)[/tex] when rounded to the nearest tenth.
