What is the BEST approximation of square root of 22 to the nearest tenth?

Answer

To find the best approximation of square root of 22 to the nearest tenth, first identify the two perfect squares that 22 lies between. The perfect squares are 16 and 25, since 4 squared equals 16 and 5 squared equals 25. Therefore, square root of 22 lies between 4 and 5. Next, test decimals between 4 and 5 to find a closer value: 4.6 squared equals 21.16, 4.7 squared equals 22.09, and 4.8 squared equals 23.04. Since 22.09 is the closest to 22 among these options, the best approximation to the nearest tenth is 4.7.