Is 81 squared a rational number?
Understand the Problem
The question is asking whether the result of squaring the number 81 (which is 81 x 81) is a rational number. A rational number is any number that can be expressed as the quotient of two integers.
Answer
Yes, $6561$ is a rational number.
Answer for screen readers
The result of squaring 81 is a rational number.
Steps to Solve
- Calculate the square of 81
To find out if the result is a rational number, first we need to calculate $81 \times 81$.
$$ 81^2 = 81 \times 81 = 6561 $$
- Determine if the result is rational
Next, we check if the number 6561 can be expressed as the quotient of two integers.
Since $6561$ can be written as $\frac{6561}{1}$, it confirms that it is a rational number.
The result of squaring 81 is a rational number.
More Information
6561 is an integer, and all integers are considered rational numbers because they can be expressed as a fraction of themselves over 1, like $\frac{6561}{1}$.
Tips
- Misunderstanding the definition of rational numbers can lead to confusion. Remember, all integers are rational since they can be expressed as a fraction.
