The sum of the square of a positive number and the square of 2 more than the number is 10 . What is the number? The positive number is

Step 1 ：Let's denote the number as x. According to the problem, we have the equation \(x^2 + (x+2)^2 = 10\). We can solve this equation to find the value of x.

Step 2 ：The solutions to the equation are -3 and 1. However, the problem specifies that the number is positive. Therefore, the number cannot be -3. The number must be 1.

Step 3 ：Final Answer: The positive number is \(\boxed{1}\).