Find a value of n when the sq. root of n^2 is NOT n.
To find a value of n when the square root of n^2 is not equal to n, we first need to understand that the square root operation returns the positive square root value. So, we are essentially looking for a value of n such that the positive square root of n^2 is not equal to n.
Let's go step by step to find such a value:
1. Start with any positive value for n. For example, let's consider n = 2.
2. Calculate n^2, which is equal to 2^2 = 4.
3. Take the square root of n^2, which is equal to sqrt(4) = 2. Note that the square root operation returns the positive square root.
4. Compare the result with n. In this case, the square root of 4 is equal to 2, which is the same as n.
From this example, we can see that when n = 2, the positive square root of n^2 is equal to n. However, we want to find a value of n when the square root of n^2 is not equal to n.
To achieve that, we need to consider negative values of n. Let's try n = -2.
1. Consider n = -2.
2. Calculate n^2, which is equal to (-2)^2 = 4.
3. Take the square root of n^2, which is equal to sqrt(4) = 2. Again, note that the square root operation returns the positive square root.
4. Compare the result with n. In this case, the square root of 4 is not equal to -2. Therefore, when n = -2, the positive square root of n^2 is not equal to n.
Hence, the value of n when the square root of n^2 is not equal to n is -2.