Which of the following is a perfect square number?a)1067b)7828c)4333d)...
Understanding Perfect Square Numbers
A perfect square number is an integer that is the square of an integer. In simpler terms, if a number can be expressed as n x n (where n is a whole number), then it is classified as a perfect square.
Analyzing the Options
Let's examine each of the provided options to determine whether they are perfect squares:
- 1067: The square root of 1067 is approximately 32.7, which is not an integer. Therefore, 1067 is not a perfect square.
- 7828: The square root of 7828 is approximately 88.5, which is also not an integer. Thus, 7828 is not a perfect square.
- 4333: The square root of 4333 is approximately 65.8, indicating that it is not an integer. Hence, 4333 is not a perfect square.
- 625: The square root of 625 is exactly 25, as 25 x 25 equals 625. This confirms that 625 is indeed a perfect square.
Conclusion
After evaluating all the options, it is clear that:
- Only option D) 625 is a perfect square number.
This analysis illustrates how to identify perfect square numbers by calculating the square roots and verifying if they yield whole numbers.