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.

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**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 |

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.

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.

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**

**Explore Square roots using illustrations and interactive 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 = 2424 − 3 = 2121 − 5 = 1616 − 7 = 99 − 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

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

## 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.

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### 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 = 5iwhere i = √-1 and it is called the imaginary unit.