The square source of 864 is expressed as √864 in the radical type and as (864)½ or (864)0.5 in the exponent form. The square source of 864 rounded approximately 10 decimal areas is 29.3938769134. It is the optimistic solution that the equation x2 = 864. We can express the square source of 864 in its shortest radical kind as 12 √6.

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**Square source of 864:**29.393876913398138

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

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

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

2. | How to uncover the Square root of 864? |

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

4. | FAQs |

The square source of 864, (or source 864), is the number which as soon as multiplied through itself offers the product as 864. Therefore, the square source of 864 = √864 = 12 √6 = 29.393876913398138.

**☛ Check: Square root Calculator**

### Value that √864 by Long department Method

**Explanation:**

Therefore, the square root of 864 by long division method is 29.3 approximately.

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

**☛ likewise Check:**

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

**Solution:**

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

**Example 3: If the area that a one is 864π in2. Uncover the radius that the circle.**

**Solution:**

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

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## FAQs ~ above the Square root of 864

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

The square root of 864 is 29.39387.

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

Upon prime factorizing 864 i.e. 25 × 33, 2 is in weird power. Therefore, the square source of 864 is irrational.

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

We need to express 864 together the product of its prime components 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 type 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 type i.e. √(864/100) = 8.64/10 = 2.939. Hence, the worth of √8.64 = 2.939

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

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

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### What is the value of 7 square source 864?

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