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Approximate [tex]\(-2 + \sqrt{40}\)[/tex] to the nearest tenth.

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GinnyAnswer
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.
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