Solving Square Root of a Square Problem

The question asks for the square root of the square of the number $9$. We can solve this step-by-step.

Step 1: Calculate the Square of 9

First, find the square of $9$. Squaring a number means multiplying it by itself.

Calculation: $9^2 = 9 \times 9 = 81$

Step 2: Find the Square Root of the Result

Next, find the square root of the result from Step 1, which is $81$. The square root of a number is a value that, when multiplied by itself, gives the original number.

Calculation: $\sqrt{81} = 9$

This is because $9 \times 9 = 81$. The principal square root is considered.

Conclusion

Therefore, the square root of the square of $9$ is $9$. This matches Option A.

In general, for any non-negative number $x$, the square root of its square is the number itself: $\sqrt{x^2} = x$. For $9$, $\sqrt{9^2} = 9$.