Is 30 a perfect square?
Understand the Problem
The question is asking whether the number 30 is a perfect square, meaning if there is an integer that can be squared to equal 30.
Answer
No, 30 is not a perfect square.
Answer for screen readers
No, 30 is not a perfect square.
Steps to Solve
- Identify the definition of a perfect square
A perfect square is a number that can be expressed as the square of an integer. In other words, if there exists an integer $n$ such that $n^2 = x$, then $x$ is a perfect square.
- Determine the square root of 30
To find out if 30 is a perfect square, we need to calculate its square root. The square root of 30 can be approximated as:
$$ \sqrt{30} \approx 5.477 $$
- Check if the square root is an integer
Since $5.477$ is not an integer, we can conclude that there is no integer $n$ such that $n^2 = 30$. Therefore, 30 is not a perfect square.
No, 30 is not a perfect square.
More Information
The square root of 30 is approximately 5.477, which is not an integer. Perfect squares include numbers like 1, 4, 9, 16, and 25, where their square roots are whole numbers.
Tips
One common mistake is assuming that any number can be a perfect square just because it is a positive integer. It is essential to check if its square root is an integer.
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