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 x² = 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
What Is the Square Root of 9?
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.
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
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.