The square root of 864 is expressed together √864 in the radical form and as (864)½ or (864)0.5 in the exponent form. The square source of 864 rounded approximately 10 decimal places is 29.3938769134. The is the confident solution that the equation x2 = 864. We can express the square root of 864 in its lowest radical type as 12 √6.

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**Square root of 864:**29.393876913398138

**Square source of 864 in exponential form:**(864)½ or (864)0.5

**Square root of 864 in radical form:**√864 or 12 √6

1. | What is the Square source of 864? |

2. | How to find the Square source of 864? |

3. | Is the Square root of 864 Irrational? |

4. | FAQs |

The square root of 864, (or root 864), is the number which once multiplied through itself provides the product together 864. Therefore, the square root of 864 = √864 = 12 √6 = 29.393876913398138.

**☛ Check: Square source Calculator**

### Value of √864 through Long division Method

**Explanation:**

Therefore, the square source of 864 through long division method is 29.3 approximately.

The actual worth of √864 is undetermined. The worth of √864 as much as 25 decimal places is 29.39387691339813717836741. Hence, the square root of 864 is one irrational number.

**☛ additionally Check:**

**Example 1: solve the equation x2 − 864 = 0**

**Solution:**

x2 - 864 = 0 i.e. X2 = 864x = ±√864Since the value of the square root of 864 is 29.394,⇒ x = +√864 or -√864 = 29.394 or -29.394.

**Example 3: If the area the a circle is 864π in2. Discover the radius the the circle.**

**Solution:**

Let 'r' be the radius that the circle.⇒ Area that the circle = πr2 = 864π in2⇒ r = ±√864 inSince radius can't be negative,⇒ r = √864The square source of 864 is 29.394.⇒ r = 29.394 in

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## FAQs top top the Square root of 864

### What is the value of the Square root of 864?

The square source of 864 is 29.39387.

### Why is the Square source of 864 one Irrational Number?

Upon element factorizing 864 i.e. 25 × 33, 2 is in odd power. Therefore, the square root of 864 is irrational.

### What is the Square root of 864 in simplest Radical Form?

We must express 864 as the product the its prime factors i.e. 864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Therefore, √864 = √2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 12 √6. Thus, the square root of 864 in the lowest radical form is 12 √6.

### If the Square source of 864 is 29.394. Find the worth of the Square source of 8.64.

Let us stand for √8.64 in p/q form i.e. √(864/100) = 8.64/10 = 2.939. Hence, the value of √8.64 = 2.939

### What is the Square the the Square source of 864?

The square of the square root of 864 is the number 864 itself i.e. (√864)2 = (864)2/2 = 864.

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### What is the worth of 7 square root 864?

The square root of 864 is 29.394. Therefore, 7 √864 = 7 × 29.394 = 205.757.