Answer:
9
Explanation:
Let's call the integer "x." According to the information given, the sum of the integer and its square root is 12. This can be written as an equation:
x + √x = 12
Now, we need to solve for x. To do this, we'll first isolate the square root term:
√x = 12 - x
Now, square both sides to get rid of the square root:
x = (12 - x)^2
x = (12 - x)(12 - x)
x = 144 - 24x + x^2
Now, rearrange the terms and set the equation equal to zero:
x^2 - 25x + 144 = 0
Now, you can factor this equation:
(x - 16)(x - 9) = 0
This gives you two possible solutions for x:
x - 16 = 0, so x = 16
x - 9 = 0, so x = 9
So, there are two possible integers, x = 16 and x = 9, that satisfy the given condition.