The square root of 6 is expressed together √6 in the radical type and together (6)½ or (6)0.5 in the exponent form. The square source of 6 rounded as much as 7 decimal places is 2.4494897. The is the optimistic solution that the equation x2 = 6.

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**Square root of 6:**2.449489742783178

**Square source of 6 in exponential form:**(6)½ or (6)0.5

**Square root of 6 in radical form:**√6

1. | What Is the Square root of 6? |

2. | Is the Square root of 6 rational or Irrational? |

3. | How to uncover the Square root of 6? |

4. | Important Notes |

5. | FAQs top top Square root of 6 |

## What Is the Square source of 6?

The square root of a number n is composed as √n. The square root of 6 deserve to be written in different ways.

Radical form: √6Decimal form: 2.449Exponent form: (6)1/2

## Is the Square source of 6 reasonable or Irrational?

The square root of 6 is one irrational number v non-terminating digits.## How to uncover the Square root of 6?

There are 2 key methods we usage to discover the square root of 6.

Prime Factorization### Prime Factorization

Now, let's find the square root.√6 = √(2 × 3)√6 = √2 × √3= 1.414 × 1.732= 2.449Therefore, the **square source of 6 is 2.449**

### Long Division

**Step 1:**do a pair of number (by put a bar end them) native one's location as shown in the figure.

**Step 5:**The following divisor will certainly be 44 + 4 and thedividendwill be 2400. Us will proceed doing the same measures till we acquire the number of decimals us require.

So ours long division now looks prefer this:

Therefore, **the square root of 6 is 2.449**

**Explore square roots using illustrations and interactive examples**

## Important Notes

The square root of 6 = 2.449√6 is irrational and also is non-terminating.The square source of 6 has actually 2 real roots, +2.449 and -2.449## Solved Examples

**Example 1: **Kate has actually a cube. The area of every 6 sides of the cube is 36cm2. Aid her calculate the edge length of the cube.

**Solution:**

Total surface ar Area is 36cm2Surface Area of every side = 36/6 = 6cm2Edge size = Square root(6) = 2.45 cmTherefore, the edge size of the cube is 2.45cm.

**Example 2: **What will certainly be the distance spanned by a human running at 6√6 miles per hour in 1 hour?

**Solution:**

Distance spanned = speed × TimeTherefore, the human covers a full distance that 6√6 × 1 = 14.697 × 1 = 14.697 miles

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## FAQs top top the Square source of 6

### What is the worth of the Square root of 6?

The square root of 6 is 2.44948.

### Why is the Square root of 6 an Irrational Number?

Upon element factorizing 6 i.e. 21 × 31, 2 is in weird power. Therefore, the square source of 6 is irrational.

### What is the Square root of -6?

The square root of -6 is an imagine number. It can be composed as √-6 = √-1 × √6 = i √6 = 2.449iwhere i = √-1 and it is called the imagine unit.

### Is the number 6 a Perfect Square?

The element factorization of 6 = 21 × 31. Here, the prime element 2 is no in the pair. Therefore, 6 is not a perfect square.

### What is the value of 1 square source 6?

The square root of 6 is 2.449. Therefore, 1 √6 = 1 × 2.449 = 2.449.

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### What is the Square of the Square source of 6?

The square that the square root of 6 is the number 6 itself i.e. (√6)2 = (6)2/2 = 6.

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