Square Root of 9

Square root of 9 is usually expressed as √9. In this mini-lesson, you will learn about the square root of 9 which is equal to 3. We will look at a couple of interesting examples to know more about the square root of 9 and we will also calculate the square root of 9 using the long division method and by prime factorization. Now let's learn how to find the square root of 9 and let's check if the square root of 9 is a rational or irrational number. 

• Square Root of 9: √9 = 3
• Square of 9: 9² = 81 

The square root of 9 is 3, i.e., multiplying 3 with 3 gives us 9. 3² = 3 × 3 = 9. Here 3 is called the square root of 9 and 9 is a perfect square.

If a number can be expressed in the form p/q, then it is a rational number. √9 = ±3 can be written in the form of a fraction 3/1. It proves that √9 is a rational number.

Square roots can be calculated using various methods. Let us find the square root of 9 using prime factorization. We can express 9 as the product of its prime factor, which is, 3. 3 × 3 = 9 is a perfect square number.

Square Root of 9 by Long Division Method

To find the square root of 9 by the long division method, we need to follow the steps given below.

• Step 1: Make a pair of digits of the given number starting with a digit at the unit's place. Put a bar on each pair.
• Step 2: Now we have to multiply a number by itself such that the product is 9. Here, 3 × 3 = 9

Explore square roots using illustrations and interactive examples

• Square Root of 11
• Square Root of 13
• Square Root of 5
• Square Root of 8
• Square Root of 14

• The square root of 9 is 3 and -3.
• 9 is a perfect square number.
• The square root of a perfect square number can be easily found by prime factorization.

What is the square root of 9?

The square root of 9 is ±3.

How do you solve the square root of 9?

We can find the square root of 9 by prime factorization.
Since 3 × 3 = 9, we can express 9 as the product of the same number. Thus, 3 is the square root of 9.

How do you find a square root?

We can find the square root of a number by using different methods such as:

1. Long division method
2. Prime factorization
3. Repeated subtraction method

What is the square root of a negative 9?

The square root of a negative number is not real. It is an imaginary number represented by i. For example, √−9 = 3i.

What is the value of √9 times √9?

The value of √9 × √9 = 9