High School

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

Step 1: Evaluate the Square Root

We first compute the value of
[tex]$$\sqrt{290}.$$[/tex]
When evaluated, this gives approximately
[tex]$$17.03.$$[/tex]

Step 2: Rounding to the Nearest Whole Number

Since the manufacturer rounds to the nearest whole inch, we round [tex]$17.03$[/tex] to the nearest integer. The decimal part [tex]$0.03$[/tex] is less than [tex]$0.5$[/tex], so we round down to obtain:
[tex]$$17.$$[/tex]

Final Answer

The diagonal measurement of the monitor is [tex]$\boxed{17}$[/tex] inches.