Square Root of 25

Square root 25 is 5. Square root of 25 gives the value which when multiplied by itself results in 25. Radical version of square root of 25 is represented as √25. Even in exponential form, it can be written as (25)^1/2 or (25)^0.5.

👁 Square-Root-of-25-

In this article, we will learn how to find out the square root of 25 by using various methods.

What is the Square Root of 25?

Square root of 25, is 5. It is an integer whose square is 25. Therefore if we square positive 5 and negative 5 we get 25 because the square root of 25 is both 5 and –5. Hence, we can select the positive or negative root depending on the needs of the problem. The square root of 25 can be represented as follows:

• √25 = 5
• (25)^1/2 = 5

Square Root of 25 Calculator

Try the following calculator to find the square root of 25

How to Calculate a Square Root of 25?

Square Root of 25 can be calculated using the following methods:

• Prime Factorisation Method
• Repeated Subtraction Method
• Long Division Method
• Estimation Method

Let's learn these methods in detail.

Square Root of 25 by Prime Factorization Method

To find the square root of 25 by the prime factorization method, we first prime factorize 25 and then make two pairs of integers to get the square root.

So, let's express the √25 in the following steps;

25 = 5 × 5

Let's solve it out in square roots;

√25 = √ 5 × 5

√25 = 5

Hence, the square root of 25 is 5.

Square Root of 25 by Repeated Subtraction Method

We will keep subtracting odd numbers from 25 until we reach zero to determine the square root by repeated subtraction.

• 25 – 1 = 24
• 24 – 3 = 21
• 21 – 5 = 16
• 16 – 7 = 9
• 9 – 9 = 0

In the 5th odd number, we get the zero. Therefore, the square root of 25 is 5 is proven by the repeated Subtraction Method.

Square Root of 25 by Long Division Method

The long division method is often not required to find the square root of 25. So, see the square root of 25 in the following steps;

• Take 25.
• Then, take the largest perfect square less than or equal to 25, it will be 25 only
  25 = 25 × 1
• Then after the division, we get quotient 5.

Therefore, the square root of 25 by using the long division method is 5 is proven.

Learn, Square Root by Long Division Method

Square Root of 25 by Estimation Method

In the estimation method, is used to find a number whose square is near to the given number. In this case, if we talk about the square root of 25, we are aware that 5 times its multiplicity equals 25. Therefore, 5 is the square root of 25. When determining the square root of a perfect square, this method works especially well, when the answer is a whole number.

Is Square Root of 25 Rational or Irrational?

Square root of 25 is a rational number. The expression p/q can be used to represent a rational number. Due to the fact that 5 and √25 = 5 may both be expressed as fractions in the form of n/1 is 5/1. It establishes the rationality of √25.

Related Reads,

• Is Square Root of 25 a Whole Number?
• Square Root Symbol
• Square Root
• Square Roots from 1 to 30