The square source of 10000 is expressed together √10000 in the radical kind and together (10000)½ or (10000)0.5 in the exponent form. The square source of 10000 is 100. The is the hopeful solution that the equation x2 = 10000. The number 10000 is a perfect square.

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**Square root of 10000:**100

**Square source of 10000 in exponential form:**(10000)½ or (10000)0.5

**Square root of 10000 in radical form:**√10000

1. | What is the Square source of 10000? |

2. | How to uncover the Square root of 10000? |

3. | Is the Square root of 10000 Rational? |

4. | FAQs |

The square source of 10000, (or source 10000), is the number which as soon as multiplied by itself gives the product together 10000. Therefore, the square root of 10000 = √10000 = 100.

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### Value the √10000 by Long division Method

**Explanation:**

Therefore, the square root of 10000 through long division method is 100.

## Is Square source of 10000 Rational?

The worth of √10000 is 100. Hence, the square root of 10000 is a reasonable number.

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## Square root of 10000 resolved Examples

**Example 1: solve the equation x2 − 10000 = 0**

**Solution:**

x2 - 10000 = 0 i.e. X2 = 10000x = ±√10000Since the worth of the square root of 10000 is 100,⇒ x = +√10000 or -√10000 = 100 or -100.

**Example 3: If the area of a one is 10000π in2. Find the radius of the circle.**

**Solution:**

Let "r" be the radius the the circle.⇒ Area of the circle = πr2 = 10000π in2⇒ r = ±√10000 inSince radius can"t be negative,⇒ r = √10000Square source of 10000 is 100.⇒ r = 100 in

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## FAQs ~ above the Square source of 10000

### What is the value of the Square root of 10000?

The square root of 10000 is 100.

### Why is the Square root of 10000 a rational Number?

Upon prime factorizing 10000 i.e. 24 × 54, we uncover that all the prime factors are in also power. This means that the square source of 10000 is a optimistic integer. Therefore, the square root of 10000 is rational.

### If the Square source of 10000 is 100. Uncover the worth of the Square root of 100.

Let us stand for √100 in p/q form i.e. √(10000/100) = 100/10 = 10. Hence, the worth of √100 = 10

### What is the Square of the Square source of 10000?

The square the the square source of 10000 is the number 10000 chin i.e. (√10000)2 = (10000)2/2 = 10000.

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### Evaluate 14 plus 5 square source 10000

The provided expression is 14 + 5 √10000. We understand that the square source of 10000 is 100. Therefore, 14 + 5 √10000 = 14 + 5 × 100 = 14 + 500 = 514

### Is the number 10000 a Perfect Square?

The element factorization of 10000 = 24 × 54. Here, all the numbers room in the strength of 2. This indicates that the square root of 10000 is a hopeful integer. Therefore, 10000 is a perfect square.