Is 300 a perfect square?
Understand the Problem
The question is asking whether the number 300 is a perfect square, which means it wants to know if there is an integer that, when squared, equals 300.
Answer
300 is not a perfect square.
Answer for screen readers
300 is not a perfect square.
Steps to Solve
- Find the Square Root of 300
To determine if 300 is a perfect square, calculate the square root of 300.
$$ \sqrt{300} $$
- If the Square Root is an Integer
Check if the square root value is an integer. If it is, then 300 is a perfect square.
- Evaluate the Square Root
Calculate the approximate value of the square root:
$$ \sqrt{300} \approx 17.32 $$
Since 17.32 is not an integer, we conclude that 300 is not a perfect square.
300 is not a perfect square.
More Information
A perfect square is a number that can be expressed as the square of an integer. For example, $1 = 1^2$, $4 = 2^2$, $9 = 3^2$, etc. In the case of 300, since its square root is approximately 17.32, which is not an integer, it cannot be a perfect square.
Tips
- Assuming that every positive integer has a perfect square root. Ensure to always check if the square root is an integer.
- Confusing the square root with the concept of perfect squares. Remember, perfect squares stem from squaring whole numbers.
