Is 36 squared a rational number?
Understand the Problem
The question is asking whether the square of the number 36 is a rational number. Squaring a number means multiplying it by itself, and the result needs to be classified as a rational number, which is a number that can be expressed as a fraction of two integers.
Answer
The square of 36 is $1296$.
Answer for screen readers
The square of the number 36 is 1296.
Steps to Solve
- Square the number 36
To find the square of 36, multiply it by itself:
$$ 36^2 = 36 \times 36 $$
- Calculate the result
Now perform the multiplication:
$$ 36 \times 36 = 1296 $$
- Determine if the result is a rational number
A rational number can be expressed as a fraction of two integers. Since 1296 can be expressed as $ \frac{1296}{1} $, it is a rational number.
The square of the number 36 is 1296.
More Information
1296 is indeed a rational number, as it can be expressed in the form of a fraction where both the numerator and denominator are integers. In fact, 1296 has several properties, including being a perfect square (since it is the square of 36).
Tips
- One common mistake is miscalculating the square of the number. Always double-check the multiplication.
- Another mistake is overlooking the fact that all integers, including squares of integers, are rational numbers.
