The square root of 189 is expressed as √189 in the radical form and together (189)½ or (189)0.5 in the exponent form. The square source of 189 rounded up to 7 decimal places is 13.7477271. It is the confident solution that the equation x2 = 189. We deserve to express the square root of 189 in its shortest radical type as 3 √21.

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**Square root of 189:**13.74772708486752

**Square source of 189 in exponential form:**(189)½ or (189)0.5

**Square root of 189 in radical form:**√189 or 3 √21

1. | What is the Square root of 189? |

2. | How to find the Square root of 189? |

3. | Is the Square root of 189 Irrational? |

4. | FAQs |

The square source of 189, (or root 189), is the number which once multiplied through itself provides the product together 189. Therefore, the square source of 189 = √189 = 3 √21 = 13.74772708486752.

**☛ Check: Square root Calculator**

### Value of √189 by Long division Method

**Explanation:**

Therefore, the square source of 189 by long division method is 13.7 approximately.

**☛ additionally Check:**

**Example 1: fix the equation x2 − 189 = 0**

**Solution:**

x2 - 189 = 0 i.e. X2 = 189x = ±√189Since the value of the square root of 189 is 13.748,⇒ x = +√189 or -√189 = 13.748 or -13.748.

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## FAQs top top the Square root of 189

### What is the value of the Square source of 189?

The square root of 189 is 13.74772.

### Why is the Square root of 189 one Irrational Number?

Upon element factorizing 189 i.e. 33 × 71, 3 is in odd power. Therefore, the square root of 189 is irrational.

### What is the Square source of -189?

The square root of -189 is an imagine number. It have the right to be written as √-189 = √-1 × √189 = i √189 = 13.747iwhere ns = √-1 and also it is dubbed the imaginary unit.

### What is the worth of 2 square source 189?

The square source of 189 is 13.748. Therefore, 2 √189 = 2 × 13.748 = 27.495.

### What is the Square root of 189 in most basic Radical Form?

We should express 189 together the product the its prime factors i.e. 189 = 3 × 3 × 3 × 7. Therefore, √189 = √3 × 3 × 3 × 7 = 3 √21. Thus, the square source of 189 in the shortest radical kind is 3 √21.

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### Is the number 189 a Perfect Square?

The element factorization of 189 = 33 × 71. Here, the prime factor 3 is no in the pair. Therefore, 189 is no a perfect square.