The square source of 768 is expressed as √768 in the radical kind and as (768)½ or (768)0.5 in the exponent form. The square source of 768 rounded approximately 9 decimal locations is 27.712812921. It is the confident solution the the equation x2 = 768. We can express the square source of 768 in its lowest radical kind as 16 √3.

You are watching: What is the square root of 768

**Square source of 768:**27.712812921102035

**Square root of 768 in exponential form:**(768)½ or (768)0.5

**Square source of 768 in radical form:**√768 or 16 √3

1. | What is the Square source of 768? |

2. | How to uncover the Square root of 768? |

3. | Is the Square source of 768 Irrational? |

4. | FAQs |

The square root of 768, (or source 768), is the number which when multiplied by itself gives the product together 768. Therefore, the square root of 768 = √768 = 16 √3 = 27.712812921102035.

**☛ Check: Square root Calculator**

### Value that √768 by Long department Method

**Explanation:**

Therefore, the square source of 768 by long division method is 27.7 approximately.

**☛ additionally Check:**

**Example 1: solve the equation x2 − 768 = 0**

**Solution:**

x2 - 768 = 0 i.e. X2 = 768x = ±√768Since the worth of the square source of 768 is 27.713,⇒ x = +√768 or -√768 = 27.713 or -27.713.

Show equipment >

go to slidego come slidego come slide

Ready to view the civilization through math’s eyes?

Math is at the core of every little thing we do. Gain solving real-world math troubles in live classes and become an professional at everything.

## FAQs on the Square root of 768

### What is the worth of the Square root of 768?

The square root of 768 is 27.71281.

### Why is the Square root of 768 one Irrational Number?

Upon element factorizing 768 i.e. 28 × 31, 3 is in odd power. Therefore, the square root of 768 is irrational.

### If the Square root of 768 is 27.713. Uncover the value of the Square root of 7.68.

Let us represent √7.68 in p/q form i.e. √(768/100) = 7.68/10 = 2.771. Hence, the worth of √7.68 = 2.771

### What is the Square of the Square root of 768?

The square of the square source of 768 is the number 768 itself i.e. (√768)2 = (768)2/2 = 768.

### What is the Square root of 768 in easiest Radical Form?

We need to express 768 together the product that its prime determinants i.e. 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3. Therefore, √768 = √2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 16 √3. Thus, the square root of 768 in the lowest radical type is 16 √3.

See more: Can You Eat Mountain Lion Meat Is Actually Delicious, Dispelling Another Myth

### What is the Square root of -768?

The square root of -768 is an imaginary number. It can be written as √-768 = √-1 × √768 = i √768 = 27.712iwhere i = √-1 and also it is referred to as the imagine unit.