Square root of 25
A number’s square root is the value which, when multiplied by itself, gives the original number. Let's explore the examples of the square root of 25 given below to find square root of 25. Once you grasp the basic concept of square roots, any lesson can be easily solved. In this lesson, you will learn the square root of 25 and how to find the square root of 25.
 Square Root of 25: 5
 Square of 25: 625
1.  What Is the Square Root of 25? 
2.  Is Square Root of 25 Rational or Irrational? 
3.  How to Find the Square Root of 25? 
4.  FAQs on Square Root of 25 
What Is the Square Root of 25?
Let us first understand the meaning of the square root. The square root of a number is the number that, when multiplied to itself, gives the product as the original number. Consider the example: 5^{2} = ^{ }( 5 × 5) = 25.
Here 5 is called the square root of 25. 25 is a perfect square. So the square root of 25 is 5.
Is Square Root of 25 Rational or Irrational?
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
How to Find the Square Root of 25?
We can find the square root of 25 using various methods. If you want to learn more about each of these methods, click here. Since we could find that 25 is a perfect square, we can find its square root using long division.
The square root of 25 can be found using the long division as follows:
Since the remainder is 0, we do not need to proceed with long division further and we consider the quotient (which is 5) as the result.
Think Tank
 What is the square root of √25?
 Is half of square root of 25 a rational number?
Explore Square roots using illustrations and interactive examples
Important Notes
 25 is a perfect square number.
 The square root of 25 is a rational number.
Solved Examples of 25 Solved Examples

Example 1 Kate wanted to check if square root of 25 can be found using repeated subtraction method. Let's help her out!
Solution:
In the repeated subtraction method, we subtract the odd numbers starting from 1 until we get a 0.
25 − 1 = 24
24 − 3 = 21
21 − 5 = 16
16 − 7 = 9
9 − 9 = 0Hence, √25 = 5.

Example 2: Help Kylie find the square root of 25 using prime factorization.
Solution:
Prime factorization of 25 = 5 × 5
√25 = √(5)(5) = 5
FAQs on Square Root of 25
1. What is the square root of 25?
As we learned in this page, the square root of 25 can be either 5 or 5.
2. How do you find the square root of 25?
We can find the square root of 25 using various methods. If you want to learn more about each of these methods, click here.
3. Why is square root of 25 not plus or minus 5?
No. Square root of 25 is 5 only, although square of 5 is 25. Square root of any positive real number is always positive. It just comes from the definition of Squareroot function.
4. How do you find a square root?
We can find the square root using various methods. If you want to learn more about each of these methods, click here.