The square root of 3400 is expressed as √3400 in the radical form and as (3400)½ or (3400)0.5 in the exponent form. The square root of 3400 rounded up to 9 decimal places is 58.309518948. It is the positive solution of the equation x2 = 3400. We can express the square root of 3400 in its lowest radical form as 10 √34.

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1. | What is the Square Root of 3400? |

2. | How to find the Square Root of 3400? |

3. | Is the Square Root of 3400 Irrational? |

4. | FAQs |

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### Value of √3400 by Long Division Method

**Explanation:**

Therefore, the square root of 3400 by long division method is 58.3 approximately.

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**Example 1: Solve the equation x2 − 3400 = 0**

**Solution:**

x2 - 3400 = 0 i.e. x2 = 3400x = ±√3400Since the value of the square root of 3400 is 58.310,⇒ x = +√3400 or -√3400 = 58.310 or -58.310.

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## FAQs on the Square Root of 3400

### What is the Value of the Square Root of 3400?

The square root of 3400 is 58.30951.

### Why is the Square Root of 3400 an Irrational Number?

Upon prime factorizing 3400 i.e. 23 × 52 × 171, 2 is in odd power. Therefore, the square root of 3400 is irrational.

### If the Square Root of 3400 is 58.310. Find the Value of the Square Root of 34.

Let us represent √34 in p/q form i.e. √(3400/100) = 34/10 = 5.831. Hence, the value of √34.0 = 5.831

### What is the Value of 3 square root 3400?

The square root of 3400 is 58.310. Therefore, 3 √3400 = 3 × 58.310 = 174.929.

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### Evaluate 5 plus 12 square root 3400

The given expression is 5 + 12 √3400. We know that the square root of 3400 is 58.310. Therefore, 5 + 12 √3400 = 5 + 12 × 58.310 = 5 + 699.714 = 704.714

### What is the Square Root of 3400 in Simplest Radical Form?

We need to express 3400 as the product of its prime factors i.e. 3400 = 2 × 2 × 2 × 5 × 5 × 17. Therefore, √3400 = √2 × 2 × 2 × 5 × 5 × 17 = 10 √34. Thus, the square root of 3400 in the lowest radical form is 10 √34.