which is a perfect square 20 21 24 25

Guri Bee

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21-10-2024

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Unmasking the Perfect Square: 20, 21, 24, 25

In the realm of mathematics, a perfect square is a whole number that results from squaring another whole number. For example, 9 is a perfect square because it's the result of 3 multiplied by itself (3 x 3 = 9).

Let's dissect the numbers 20, 21, 24, and 25 to discover which one fits the bill of being a perfect square.

The Process of Elimination:

• 20: No whole number multiplied by itself equals 20.
• 21: Similarly, no whole number squared yields 21.
• 24: 24 doesn't have a whole number root.
• 25: Eureka! 5 multiplied by itself (5 x 5 = 25) equals 25.

Therefore, 25 is the perfect square among the given numbers.

Let's explore the concept further:

• Identifying Perfect Squares: A quick way to recognize a perfect square is to look for its square root. If the square root is a whole number, then the original number is a perfect square.
• Real-World Applications: Perfect squares have a wide range of applications in various fields, including:
  • Geometry: The area of a square is calculated by squaring the length of its side.
  • Physics: The equation for calculating the kinetic energy of an object involves the square of its velocity.
  • Computer Science: Perfect squares play a crucial role in cryptography and algorithms.

In Conclusion: While the number 25 is the only perfect square in the set {20, 21, 24, 25}, understanding the concept of perfect squares is essential for many areas of mathematics and beyond.