What is the square root of 81?

Understand the Problem

The question is asking for the square root of the number 81, which is a basic arithmetic operation.

Answer

9
Answer for screen readers

The final answer is 9

Steps to Solve

  1. Identify the operation to be performed

The operation required is to find the square root of the number 81.

  1. Recall the definition of a square root

The square root of a number $x$ is a number $y$ such that $y^2 = x$.

  1. Find the appropriate value

We need to find a number which, when multiplied by itself, equals 81. We can check integer values:

$$9 imes 9 = 81$$

So, the square root of 81 is 9.

The final answer is 9

More Information

When dealing with square roots, it's essential to recognize that every positive real number has two square roots: a positive and a negative one. In this case, both 9 and -9 are square roots of 81, but typically, the principal (positive) square root is considered when the context doesn't specify otherwise.

Tips

A common mistake is to forget that the square root operation yields both a positive and a negative number. For example, both 9 and -9 are valid square roots of 81 because $(-9) \times (-9) = 81$ and $9 \times 9 = 81$.

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