Final answer:
The square root of 2064 is approximately 45.42. Calculators or mathematical algorithms can be used to find the square root. By using a calculator, the result is obtained directly, while the long division method can be used to find the square root step by step.
Step-by-step explanation:
The square root of 2064 is approximately 45.42.
To find the square root of 2064, we can use a calculator or a mathematical algorithm. By using a calculator, we can simply input 2064 and find that the square root is approximately 45.42.
Alternatively, we can use the long division method to find the square root. We start by grouping the digits in pairs from right to left: 20 64. Then, we find the largest square less than or equal to 20, which is 16. Taking the square root of 16 gives us 4. Next, we bring down the next pair of digits, giving us 464. We then double the current root and try to find a value to add as a divisor. In this case, we get 448 as the result. Thus, the next digit is 8.
Continuing this process, we bring down the next pair of digits, giving us 864. To find the next digit, we double the current root and try to find a value to add as a divisor. In this case, we get 816 as the result. Thus, the next digit is 2.
Finally, we bring down the next pair of digits, giving us 216. To find the last digit, we double the current root and try to find a value to add as a divisor. In this case, we get 216 as the result. Thus, the last digit is 1.