Answer:
The option A)
is correct
Step-by-step explanation:
Given numbers are ![\sqrt{11},2\sqrt{3},\sqrt{2},4\sqrt{7},\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D%2C2%5Csqrt%7B3%7D%2C%5Csqrt%7B2%7D%2C4%5Csqrt%7B7%7D%2C%5Csqrt%7B5%7D)
Now to order the given numbers from least to greatest :
![\sqrt{11},2\sqrt{3},\sqrt{2},4\sqrt{7},\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D%2C2%5Csqrt%7B3%7D%2C%5Csqrt%7B2%7D%2C4%5Csqrt%7B7%7D%2C%5Csqrt%7B5%7D)
Now find the decimals to the corresponding numbers as below
3.3166,2(1.732),1.414,4(2.6457),2.2360
3.3166,3.464,1.414,10.5828,2.2360
Now arranging the above decimals from least to greatest
1.414,2.2360,3.3166,3.464,10.5828
Now writing their corresponding given numbers we have
![\sqrt{2},\sqrt{5},\sqrt{11},2\sqrt{3},4\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%2C%5Csqrt%7B5%7D%2C%5Csqrt%7B11%7D%2C2%5Csqrt%7B3%7D%2C4%5Csqrt%7B7%7D)
Therefore the option A)
is correct