A day full of math games & activities. Find one near you.

Square Root of 25

The square root of 25 is expressed as √25 in the radical form and as (25)^½ or (25)^0.5 in the exponent form. The square root of 25 is 5. It is the positive solution of the equation x² = 25. The number 25 is a perfect square.

Square Root of 25: 5
Square Root of 25 in exponential form: (25)^½ or (25)^0.5
Square Root of 25 in radical form: √25

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: 5² = ( 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.

square root of 25

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:

square root of 5 by long division

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 = 0

Hence, √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
Example: If the surface area of a cube is 150 in². Find the length of the side of the cube.

Solution:

Let 'a' be the length of the side of the cube.
⇒ Area of the cube = 6a² = 150 in²
⇒ a = ±√25 in
Since length can't be negative,
⇒ a = √25
We know that the square root of 25 is 5.
⇒ a = 5 in

go to slide go to slide go to slide

Breakdown tough concepts through simple visuals.

Math will no longer be a tough subject, especially when you understand the concepts through visualizations.

Book a Free Trial Class

FAQs on the Square Root of 25

What is the Value of the Square Root of 25?

The square root of 25 is 5.

Why is the Square Root of 25 a Rational Number?

Upon prime factorizing 25 i.e. 5², we find that all the prime factors are in even power. This implies that the square root of 25 is a positive integer. Therefore, the square root of 25 is rational.

Evaluate 13 plus 15 square root 25

The given expression is 13 + 15 √25. We know that the square root of 25 is 5. Therefore, 13 + 15 √25 = 13 + 15 × 5 = 13 + 75 = 88

Is the number 25 a Perfect Square?

The prime factorization of 25 = 5². Here, all the numbers are in the power of 2. This implies that the square root of 25 is a positive integer. Therefore, 25 is a perfect square.

What is the Value of 16 square root 25?

The square root of 25 is 5. Therefore, 16 √25 = 16 × 5 = 80.

What is the Square Root of -25?

The square root of -25 is an imaginary number. It can be written as √-25 = √-1 × √25 = i √25 = 5i
where i = √-1 and it is called the imaginary unit.

Math worksheets and
visual curriculum