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Understanding the Square Root of 25

Published in Square Roots 2 mins read

What is the Square Root of 25?

The square root of 25 is 5.

The square root of a number is a value that, when multiplied by itself, gives the original number. Finding the square root is the opposite operation of squaring a number.

Based on the provided reference and mathematical principles, the square root of 25 is 5.

How We Get the Answer 5

To find the square root of 25, we look for a number that, when multiplied by itself, results in 25.

Let's test the number 5:

  • 5 multiplied by 5 equals 25 (5 x 5 = 25)

Since 5 times 5 is 25, 5 is the square root of 25.

Number to Square Calculation Result
5 5 x 5 25

This shows that the square root of 25 is indeed 5.

The Principal Square Root

When we talk about "the" square root of a positive number, we usually mean the positive root. This is called the principal square root.

It's worth noting that -5 also squares to 25, because (-5) * (-5) = 25. So, 25 actually has two square roots: 5 and -5. However, the radical symbol (√), representing the square root, typically denotes the principal (positive) square root.

Quick Facts about the Square Root of 25

  • It is a whole number.
  • It is an integer.
  • 25 is considered a perfect square because its square root (5) is a whole number.

Understanding the square root of 25 is a fundamental concept in mathematics, often used when learning about numbers, algebra, and geometry.

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