The square source of 160 is expressed together √160 in the radical type and together (160)½ or (160)0.5 in the exponent form. The square source of 160 rounded approximately 7 decimal areas is 12.6491106. That is the optimistic solution the the equation x2 = 160. We have the right to express the square root of 160 in its lowest radical type as 4 √10.

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**Square source of 160:**12.649110640673518

**Square source of 160 in exponential form:**(160)½ or (160)0.5

**Square root of 160 in radical form:**√160 or 4 √10

1. | What Is the Square source of 160? |

2. | Is Square root of 160 rational or Irrational? |

3. | How to discover the Square root of 160? |

4. | Challenging Questions |

5. | FAQs top top Square source of 160 |

## What Is the Square source of 160?

The square source of a number n is created as √n. This number when squared or multiplied by itself outcomes in the original number n. There space multiple methods of writing square source of 160. Castle are provided as:

Radical form: √160 = 4√10Decimal form: 12.649Exponent form: (160)1/2## Is Square root of 160 reasonable or Irrational?

## How to discover the Square source of 160?

There are just 2 means to uncover the square source of 160:

Long department MethodPrime FactorizationWe cannot use the prime factorization an approach here, together 160 is a prime number. Think about it?

### Long division Method

The square source of 160 through long division method is composed of the complying with steps:

**Step 1:**Starting from the right, we will certainly pair increase the digits 160 by putting a bar above 60 and also 1 separately. We likewise pair the 0s in decimals in bag of 2 from left to right.

**Step 3:**Drag a pair of 0’s down and also fill it next to to make the dividend 1600.

**Step 5:**Repeat this process to gain the decimal areas you want.

Therefore, **the square root of 160 = **12.649

### Prime Factorization

Next, this deserve to be diminished further to 150 = 25 × 5Finally, to find the source of this from here is very easy,√150 = √(25 × 5) = 4√(2 × 5) = 4√10 = 4 × 3.162 = 12.649

Therefore, the **Square root of 160 ≅ 12.649**

**Explore Square roots making use of illustrations and also interactive examples**

**Challenging Questions**

## Solved Examples

**Example 1:** Robert desires to purchase a brand-new painting because that his living room. In the store, he finds a square paint that has an area that 16000 sq cm. How long is every side of the painting?

**Solution:**

To uncover the next of the painting, we will have actually to discover the square root of 160.The square root is √16000= 126.49.Hence, the side length of the paint is 126.49 cm.

**Example 2:** discover the square root of 25600 making use of the truth that square source of √160 =4√10.

**Solution: **

25600 = 160 × 160√25600 = √(160 × 160) = (4√10 × 4√10)√25600 = 160Therefore, square source of 25600 is 160.

**Example:** If the area of a one is 160π in2. Uncover the radius the the circle.

**Solution:**

Let "r" it is in the radius that the circle.⇒ Area of the circle = πr2 = 160π in2⇒ r = ±√160 inSince radius can"t it is in negative,⇒ r = √160The square root of 160 is 12.649.⇒ r = 12.649 in

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## FAQs on the Square root of 160

### What is the value of the Square root of 160?

The square source of 160 is 12.64911.

### Why is the Square source of 160 one Irrational Number?

Upon prime factorizing 160 i.e. 25 × 51, 2 is in strange power. Therefore, the square root of 160 is irrational.

### What is the Square source of -160?

The square root of -160 is an imagine number. It can be written as √-160 = √-1 × √160 = ns √160 = 12.649iwhere i = √-1 and it is dubbed the imaginary unit.

### Is the number 160 a Perfect Square?

The prime factorization of 160 = 25 × 51. Here, the prime aspect 2 is not in the pair. Therefore, 160 is not a perfect square.

### What is the worth of 15 square source 160?

The square root of 160 is 12.649. Therefore, 15 √160 = 15 × 12.649 = 189.737.

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### What is the Square that the Square source of 160?

The square of the square source of 160 is the number 160 chin i.e. (√160)2 = (160)2/2 = 160.