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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 :

We are given that the diagonal of the laptop monitor is

[tex]$$\sqrt{290} \text{ inches.}$$[/tex]

Step 1: Compute the value of [tex]$\sqrt{290}$[/tex].

When you evaluate this, you obtain approximately

[tex]$$\sqrt{290} \approx 17.03 \text{ inches.}$$[/tex]

Step 2: Round this value to the nearest whole number.

Since [tex]$17.03$[/tex] is very close to [tex]$17$[/tex] (as the decimal part [tex]$0.03$[/tex] is much less than [tex]$0.5$[/tex]), rounding gives

[tex]$$17 \text{ inches.}$$[/tex]

Thus, the monitor is approximately [tex]$17$[/tex] inches as measured by its diagonal.

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