Answer:
Option C
![(√(120))](https://img.qammunity.org/2021/formulas/mathematics/high-school/fxvts9iux1n8qcrt97xtstgnnb1l111ax5.png)
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,
is the correct answer.
Let's verify all the options.
![√(118) = 10.8627804912 = 10.86(appx)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wr6yr0auxgecuccyc76fi3wjgqo3w6owlk.png)
![√(115) = 10.7238052948 = 10.72(appx)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hhuj6w31kfv5oe2nxdkl9hjaq7nsfgd12w.png)
![√(120) = 10.9544511501 = 10.95(appx)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c6embr88tl5zaxjmjs8lhmwrrgjwnyn47f.png)
![√(123) = 11.0905365064 = 11.09(appx)](https://img.qammunity.org/2021/formulas/mathematics/high-school/2qkr4ogikaaoovx4mpndpgfshowcgx1i9n.png)
After verifying the values of all the options , 10.95 (appx value of
) is very close to 11.