The square root of 650 is expressed as √650 in the radical form and as (650)½ or (650)0.5 in the exponent form. The square root of 650 rounded up to 8 decimal places is 25.49509757. It is the positive solution of the equation x2 = 650. We can express the square root of 650 in its lowest radical form as 5 √26.

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1. | What is the Square Root of 650? |

2. | How to find the Square Root of 650? |

3. | Is the Square Root of 650 Irrational? |

4. | FAQs |

## What is the Square Root of 650?

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## How to Find Square Root of 650?

### Value of √650 by Long Division Method

**Explanation:**

Therefore, the square root of 650 by long division method is 25.4 approximately.

## Is Square Root of 650 Irrational?

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## Square Root of 650 Solved Examples

**Example 1: Solve the equation x2 − 650 = 0**

**Solution:**

x2 - 650 = 0 i.e. x2 = 650x = ±√650Since the value of the square root of 650 is 25.495,⇒ x = +√650 or -√650 = 25.495 or -25.495.

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## FAQs on the Square Root of 650

### What is the Value of the Square Root of 650?

The square root of 650 is 25.49509.

### Why is the Square Root of 650 an Irrational Number?

Upon prime factorizing 650 i.e. 21 × 52 × 131, 2 is in odd power. Therefore, the square root of 650 is irrational.

### What is the Value of 19 square root 650?

The square root of 650 is 25.495. Therefore, 19 √650 = 19 × 25.495 = 484.407.

### Is the number 650 a Perfect Square?

The prime factorization of 650 = 21 × 52 × 131. Here, the prime factor 2 is not in the pair. Therefore, 650 is not a perfect square.

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### What is the Square Root of 650 in Simplest Radical Form?

We need to express 650 as the product of its prime factors i.e. 650 = 2 × 5 × 5 × 13. Therefore, √650 = √2 × 5 × 5 × 13 = 5 √26. Thus, the square root of 650 in the lowest radical form is 5 √26.

### Evaluate 9 plus 10 square root 650

The given expression is 9 + 10 √650. We know that the square root of 650 is 25.495. Therefore, 9 + 10 √650 = 9 + 10 × 25.495 = 9 + 254.951 = 263.951