The square root of 9 is expressed together √9 in the radical type and as (9)½ or (9)0.5 in the exponent form. The square root of 9 is 3. That is the positive solution the the equation x2 = 9. The number 9 is a perfect square.

You are watching: Square root of -4 times square root of -9

Square root of 9: 3Square root of 9 in exponential form: (9)½ or (9)0.5Square source 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 source of 9? 4 FAQs ~ above Square source of 9

The square source of 9 is 3, i.e., multiply 3 v 3 provides us 9. 32 = 3 × 3 = 9. Here 3 is referred to as the square source of 9 and 9 is a perfect square. If a number have the right to be expressed in the form p/q, climate it is a reasonable number. √9 = ±3 deserve to be created in the type of a portion 3/1. It proves that √9 is a reasonable number.

Square roots have the right to be calculated using assorted methods. Let us uncover the square source of 9 utilizing prime factorization. We have the right to express 9 together the product the 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 should follow the steps given below.

Step 1: make a pair of number 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 chin such the the product is 9. Here, 3 × 3 = 9 Explore square roots utilizing illustrations and also interactive examples

Important Notes

The square root of 9 is 3 and also -3.9 is a perfect square number.The square source of a perfect square number have the right to be easily uncovered by prime factorization.

## Square source of 9 addressed Examples

Example 1 Solve square root of 4/9 making use of prime factorization.

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

Example 2 Can you assist Joe find the square root of 9/49?

Solution

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

Example 3 discover the sum of the square the 9 and the square root of 9.

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

View an ext >

go come slidego to slidego to slide Breakdown tough principles through simple visuals.
Math will certainly no longer be a hard subject, especially when you know the ideas through visualizations.

Book a free Trial Class

## FAQs on the Square root of 9

### What is the worth 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. 32, we discover that every the prime determinants are in also power. This suggests that the square root of 9 is a positive integer. Therefore, the square source of 9 is rational.

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

The square the 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 deserve to be composed as √-9 = √-1 × √9 = ns √9 = 3iwhere ns = √-1 and it is dubbed 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.

See more: How Many Grams Are In A Gallon S Of Water To Grams Of Water, Convert Grams To Gallon

### If the Square source of 9 is 3. Find the value 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