The square root of 122 is expressed as √122 in the radical form and as (122)½ or (122)0.5 in the exponent form. The square root of 122 rounded up to 7 decimal places is 11.0453610. It is the positive solution of the equation x2 = 122.

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**Square Root of 122:**11.045361017187261

**Square Root of 122 in exponential form:**(122)½ or (122)0.5

**Square Root of 122 in radical form:**√122

1. | What is the Square Root of 122? |

2. | How to find the Square Root of 122? |

3. | Is the Square Root of 122 Irrational? |

4. | FAQs |

The square root of 122, (or root 122), is the number which when multiplied by itself gives the product as 122. Therefore, the square root of 122 = √122 = 11.045361017187261.

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### Value of √122 by Long Division Method

**Explanation:**

Therefore, the square root of 122 by long division method is 11.0 approximately.

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**Example 1: Solve the equation x2 − 122 = 0**

**Solution:**

x2 - 122 = 0 i.e. x2 = 122x = ±√122Since the value of the square root of 122 is 11.045,⇒ x = +√122 or -√122 = 11.045 or -11.045.

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## FAQs on the Square Root of 122

### What is the Value of the Square Root of 122?

The square root of 122 is 11.04536.

### Why is the Square Root of 122 an Irrational Number?

Upon prime factorizing 122 i.e. 21 × 611, 2 is in odd power. Therefore, the square root of 122 is irrational.

### What is the Square Root of -122?

The square root of -122 is an imaginary number. It can be written as √-122 = √-1 × √122 = i √122 = 11.045iwhere i = √-1 and it is called the imaginary unit.

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### Evaluate 3 plus 6 square root 122

The given expression is 3 + 6 √122. We know that the square root of 122 is 11.045. Therefore, 3 + 6 √122 = 3 + 6 × 11.045 = 3 + 66.272 = 69.272

### Is the number 122 a Perfect Square?

The prime factorization of 122 = 21 × 611. Here, the prime factor 2 is not in the pair. Therefore, 122 is not a perfect square.

### What is the Square Root of 122 in Simplest Radical Form?

We need to express 122 as the product of its prime factors i.e. 122 = 2 × 61. Therefore, as visible, the radical form of the square root of 122 cannot be simplified further. Therefore, the simplest radical form of the square root of 122 can be written as √122