Square Root of 9
The square root of 9 is expressed as √9 in the radical form and as (9)^{½} or (9)^{0.5} in the exponent form. The square root of 9 is 3. It is the positive solution of the equation x^{2} = 9. The number 9 is a perfect square.
 Square Root of 9: 3
 Square Root of 9 in exponential form: (9)^{½} or (9)^{0.5}
 Square Root of 9 in radical form: √9
1.  What Is the Square Root of 9? 
2.  Is Square Root of 9 Rational or Irrational? 
3.  How to Find the Square Root of 9? 
4.  FAQs on Square Root of 9 
What Is the Square Root of 9?
The square root of 9 is 3, i.e., multiplying 3 with 3 gives us 9. 3^{2 }= 3 × 3 = 9. Here 3 is called the square root of 9 and 9 is a perfect square.
Is the Square Root of 9 a Rational or an Irrational Number?
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.
How to Find the Square Root of 9?
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
Important Notes
 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.
Square Root of 9 Solved Examples

Example 1 Solve square root of 4/9 using prime factorization.
Solution
Prime factorization of 4 = 2 × 2
Prime factorization of 9 = 3 × 3
Therefore, square root of 4/9 = √4 / √9 = √2 × √2 / √3 × √3 = 2/3. 
Example 2 Can you help Joe find the square root of 9/49?
Solution
Prime factorization of 49 = 7 × 7
Prime factorization of 9 = 3 × 3
Therefore, square root of 9/49 = √9 / √49 = √3 × √3 / √7 × √7 = 3/7 
Example 3 Find the sum of the square of 9 and the square root of 9.
Solution
Square of 9 = 81
Square root of 9 = 3
Therefore, sum of the square of 9 and the square root of 9 = 81 + 3 = 84
FAQs on the Square Root of 9
What is the Value of the Square Root of 9?
The square root of 9 is 3.
Why is the Square Root of 9 a Rational Number?
Upon prime factorizing 9 i.e. 3^{2}, we find that all the prime factors are in even power. This implies that the square root of 9 is a positive integer. Therefore, the square root of 9 is rational.
What is the Square of the Square Root of 9?
The square of the square root of 9 is the number 9 itself i.e. (√9)^{2} = (9)^{2/2} = 9.
What is the Square Root of 9?
The square root of 9 is an imaginary number. It can be written as √9 = √1 × √9 = i √9 = 3i
where i = √1 and it is called the imaginary unit.
What is the Value of 9 square root 9?
The square root of 9 is 3. Therefore, 9 √9 = 9 × 3 = 27.
If the Square Root of 9 is 3. Find the Value of the Square Root of 0.09.
Let us represent √0.09 in p/q form i.e. √(9/100) = 3/10 = 0.3. Hence, the value of √0.09 = 0.3
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