Answer:
Option C [tex](\sqrt{120}) [/tex]
Step-by-step explanation:
The easiest method is to find the number closest to the square of 11 i.e. 121. From all the options , ignore the square root , just find out the number
nearest to 121 ; we'll come to that 120 is very close to 121. So, [tex] \sqrt{120}[/tex] is the correct answer.
Let's verify all the options.
[tex] \sqrt{118} = 10.8627804912 = 10.86(appx)[/tex]
[tex] \sqrt{115} = 10.7238052948 = 10.72(appx)[/tex]
[tex] \sqrt{120} = 10.9544511501 = 10.95(appx)[/tex]
[tex] \sqrt{123} = 11.0905365064 = 11.09(appx)[/tex]
After verifying the values of all the options , 10.95 (appx value of [tex]\sqrt{120}[/tex]) is very close to 11.
