Answer: To create a solution that accepts an integer input, calculates the square root using the sqrt() method from the math module, and determines whether the output is a perfect square, you can follow these steps:
1. Begin by importing the math module at the beginning of your code with the following line: `import math`
2. Prompt the user to enter an integer by using an input() function. Assign the input to a variable, let's say `num`.
3. Convert the input from a string to an integer using the int() function, like this: `num = int(num)`
4. Calculate the square root of the input using the sqrt() method from the math module. Assign the result to a variable, let's say `sqrt_value`. The code for this step will be: `sqrt_value = math.sqrt(num)`
5. Check if the square root value is an integer by comparing it with its rounded value. If the rounded value is equal to the square root value, it means the number is a perfect square. In this case, assign the Boolean value True to a variable, let's say `is_perfect_square`. Otherwise, assign False. The code for this step will be:
```
rounded_value = round(sqrt_value)
is_perfect_square = rounded_value == sqrt_value
```
6. Finally, output the square root value and the Boolean value identifying whether it is a perfect square or not. You can use the print() function for this step, like this:
```
print("Square root:", sqrt_value)
print("Is a perfect square:", is_perfect_square)
```
To summarize, the solution will involve importing the math module, accepting an integer input from the user, calculating the square root using sqrt(), determining whether the output is a perfect square, and then printing the square root value and the Boolean value indicating whether it is a perfect square or not.
Step-by-step explanation: