Is 576 a square number?
Understand the Problem
The question is asking if the number 576 can be expressed as the square of an integer, meaning we need to find if there exists an integer n such that n^2 = 576.
Answer
576 can be expressed as the square of the integer \( n = 24 \).
Answer for screen readers
The answer is 576 can be expressed as the square of the integer ( n = 24 ).
Steps to Solve
- Set up the equation We need to find an integer $n$ such that:
$$ n^2 = 576 $$
- Take the square root To isolate $n$, take the square root of both sides:
$$ n = \sqrt{576} $$
- Calculate the square root Now perform the calculation to find the square root of 576:
$$ n = 24 $$
- Check if $n$ is an integer Since $n = 24$ is an integer, we conclude that 576 can be expressed as the square of an integer.
The answer is 576 can be expressed as the square of the integer ( n = 24 ).
More Information
576 is a perfect square, and its integer square root is 24. Perfect squares are quite common in mathematics, and many numbers can be expressed this way.
Tips
Some common mistakes include:
- Assuming $n^2 = 576$ can be solved without calculating the square root.
- Miscalculating the square root of 576; it is crucial to perform the arithmetic accurately.
Thank you for voting!
