The square source of 9 is expressed together √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 optimistic solution the the equation x2 = 9. The number 9 is a perfect square.

You are watching: What is the square root of 9

Square source of 9: 3Square source of 9 in exponential form: (9)½ or (9)0.5Square root of 9 in radical form: √9
 1 What Is the Square root of 9? 2 Is Square source of 9 Rational or Irrational? 3 How to find the Square root of 9? 4 FAQs on Square source of 9

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

If a number can be expressed in the form p/q, then it is a reasonable number. √9 = ±3 have the right to be written in the kind of a portion 3/1. The proves that √9 is a rational number.

Square roots have the right to be calculation using various methods. Let us find the square source of 9 using prime factorization. We can express 9 together the product that its prime factor, i beg your pardon is, 3. 3 × 3 = 9 is a perfect square number.

### Square source of 9 by Long division Method

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

Step 1: make a pair of digits of the given number beginning with a number at the unit"s place. Put a bar on each pair.Step 2: now we need to multiply a number by itself such the the product is 9. Here, 3 × 3 = 9

Explore square roots using illustrations and also interactive examples

Important Notes

The square source of 9 is 3 and -3.9 is a perfect square number.The square source of a perfect square number can be easily uncovered by element factorization.

## Square root of 9 addressed Examples

Example 1 Solve square source of 4/9 using prime factorization.

SolutionPrime factorization of 4 = 2 × 2Prime administer of 9 = 3 × 3Therefore, square source of 4/9 = √4 / √9 = √2 × √2 / √3 × √3 = 2/3.

Example 2 Can you aid Joe discover the square root of 9/49?

Solution

Prime factorization of 49 = 7 × 7Prime factorization of 9 = 3 × 3Therefore, square root of 9/49 = √9 / √49 = √3 × √3 / √7 × √7 = 3/7

Example 3 find the amount of the square the 9 and the square source of 9.

SolutionSquare of 9 = 81Square source of 9 = 3Therefore, sum that the square the 9 and the square root of 9 = 81 + 3 = 84

View an ext >

go to slidego come slidego come slide

Breakdown tough concepts through simple visuals.
Math will no longer be a tough subject, particularly when you recognize the ideas through visualizations.

Book a complimentary Trial Class

## FAQs on the Square source of 9

### What is the value of the Square root of 9?

The square root of 9 is 3.

### Why is the Square source of 9 a reasonable Number?

Upon prime factorizing 9 i.e. 32, we discover that every the prime determinants are in also power. This suggests that the square source of 9 is a positive integer. Therefore, the square root of 9 is rational.

### What is the Square that the Square source of 9?

The square that the square source of 9 is the number 9 chin i.e. (√9)2 = (9)2/2 = 9.

### What is the Square source of -9?

The square root of -9 is an imagine number. It have the right to be written as √-9 = √-1 × √9 = ns √9 = 3iwhere ns = √-1 and also it is dubbed the imagine unit.

### What is the value of 9 square root 9?

The square root of 9 is 3. Therefore, 9 √9 = 9 × 3 = 27.

See more: How Many Beats Does A Whole Note Get ? Quarter, Half, Dotted Half And Whole Notes

### If the Square source of 9 is 3. Discover the worth of the Square source of 0.09.

Let us stand for √0.09 in p/q kind i.e. √(9/100) = 3/10 = 0.3. Hence, the value of √0.09 = 0.3