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Carlos found that the length of the diagonal of his laptop monitor is [tex]\sqrt{290}[/tex]. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal?

A. 12
B. 17
C. 97
D. 245

Answer :

To determine the size of the monitor as measured by the diagonal, we need to find out what the square root of 290 is, and then round it to the nearest whole number because the manufacturer rounds to the nearest inch.

1. Find the Square Root:
The length of the diagonal of the monitor is given as [tex]\(\sqrt{290}\)[/tex].

2. Approximate the Square Root:
Calculate [tex]\(\sqrt{290}\)[/tex]. This value is approximately [tex]\(17.03\)[/tex].

3. Round to the Nearest Whole Number:
Since the number [tex]\(17.03\)[/tex] is closer to [tex]\(17\)[/tex] than [tex]\(18\)[/tex], we round it to the nearest whole number, which is [tex]\(17\)[/tex].

Therefore, the size of the monitor, measured by the diagonal and rounded to the nearest inch, is 17 inches.

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