The square root of 242 is expressed as √242 in the radical type and as (242)½ or (242)0.5 in the exponent form. The square source of 242 rounded approximately 10 decimal areas is 15.5563491861. The is the positive solution of the equation x2 = 242. We have the right to express the square root of 242 in its lowest radical kind as 11 √2.

You are watching: What is the square root of 242

**Square source of 242:**15.556349186104045

**Square source of 242 in exponential form:**(242)½ or (242)0.5

**Square root of 242 in radical form:**√242 or 11 √2

1. | What is the Square source of 242? |

2. | How to discover the Square source of 242? |

3. | Is the Square source of 242 Irrational? |

4. | FAQs |

The square source of 242, (or source 242), is the number which when multiplied by itself offers the product together 242. Therefore, the square root of 242 = √242 = 11 √2 = 15.556349186104045.

**☛ Check: Square root Calculator**

### Value the √242 by Long division Method

**Explanation:**

Therefore, the square source of 242 through long department method is 15.5 approx.

The actual worth of √242 is undetermined. The worth of √242 approximately 25 decimal places is 15.55634918610404553681858. Hence, the square source of 242 is an irrational number.

**☛ also Check:**

**Example 1: resolve the equation x2 − 242 = 0**

**Solution:**

x2 - 242 = 0 i.e. X2 = 242x = ±√242Since the value of the square root of 242 is 15.556,⇒ x = +√242 or -√242 = 15.556 or -15.556.

**Example 2: If the area the a circle is 242π in2. Discover the radius of the circle.**

**Solution:**

Let "r" it is in the radius of the circle.⇒ Area the the circle = πr2 = 242π in2⇒ r = ±√242 inSince radius can"t it is in negative,⇒ r = √242The square source of 242 is 15.556.⇒ r = 15.556 in

Show systems >

go to slidego to slidego come slide

Ready to view the world through math’s eyes?

Math is at the main point of every little thing we do. Reap solving real-world math difficulties in live classes and also become an professional at everything.

## FAQs top top the Square root of 242

### What is the value of the Square source of 242?

The square source of 242 is 15.55634.

### Why is the Square source of 242 one Irrational Number?

Upon prime factorizing 242 i.e. 21 × 112, 2 is in odd power. Therefore, the square source of 242 is irrational.

### What is the Square root of -242?

The square root of -242 is an imagine number. It have the right to be written as √-242 = √-1 × √242 = ns √242 = 15.556iwhere i = √-1 and it is referred to as the imagine unit.

### If the Square root of 242 is 15.556. Discover the worth of the Square source of 2.42.

Let us represent √2.42 in p/q kind i.e. √(242/100) = 2.42/10 = 1.556. Hence, the value of √2.42 = 1.556

### What is the value of 6 square source 242?

The square root of 242 is 15.556. Therefore, 6 √242 = 6 × 15.556 = 93.338.

See more: How To Clean Xbox 360 Fans, How To Disassemble An Xbox 360 For Cleaning

### Is the number 242 a Perfect Square?

The prime factorization that 242 = 21 × 112. Here, the prime element 2 is not in the pair. Therefore, 242 is not a perfect square.