The square root of 160 is expressed together √160 in the radical kind and as (160)½ or (160)0.5 in the exponent form. The square root of 160 rounded up to 7 decimal locations is 12.6491106. The is the hopeful solution that the equation x2 = 160. We have the right to express the square source of 160 in its shortest 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 source of 160 in radical form:**√160 or 4 √10

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

2. | Is Square source of 160 reasonable or Irrational? |

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

4. | Challenging Questions |

5. | FAQs top top Square root of 160 |

## What Is the Square source of 160?

The square source of a number n is composed as √n. This number when squared or multiplied by itself outcomes in the initial number n. There space multiple means of writing square source of 160. Lock are provided as:

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

## How to discover the Square root of 160?

There are only 2 methods to discover the square source of 160:

Long department MethodPrime FactorizationWe cannot use the element factorization technique here, as 160 is a element number. Think around it?

### Long department Method

The square root of 160 by long division method consists of the adhering to steps:

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

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

**Step 5:**Repeat this process to obtain the decimal places you want.

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

### Prime Factorization

Next, this deserve to be lessened further to 150 = 25 × 5Finally, to find the root of this from here is an extremely 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 utilizing illustrations and interactive examples**

**Challenging Questions**

## Solved Examples

**Example 1:** Robert desires to purchase a brand-new painting for his life room. In the store, he find a square painting that has actually an area of 16000 sq cm. Exactly how long is each side the the painting?

**Solution:**

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

**Example 2:** find the square source of 25600 utilizing the fact that square root 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 the a circle is 160π in2. Discover the radius the the circle.

**Solution:**

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

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## FAQs ~ above the Square source of 160

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

The square source of 160 is 12.64911.

### Why is the Square root of 160 an Irrational Number?

Upon prime factorizing 160 i.e. 25 × 51, 2 is in weird 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 created as √-160 = √-1 × √160 = i √160 = 12.649iwhere ns = √-1 and it is referred to as the imagine unit.

### Is the number 160 a Perfect Square?

The prime factorization the 160 = 25 × 51. Here, the prime factor 2 is no in the pair. Therefore, 160 is no a perfect square.

### What is the value of 15 square root 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 the the Square source of 160?

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