The square root of 156 is expressed as √156 in the radical develop and also as (156)½ or (156)0.5 in the exponent create. The square root of 156 rounded up to 5 decimal locations is 12.49000. It is the positive solution of the equation x2 = 156. We have the right to express the square root of 156 in its lowest radical develop as 2 √39.

You are watching: What is the square root of 156

**Square Root of 156:**12.489995996796797

**Square Root of 156 in exponential form:**(156)½ or (156)0.5

**Square Root of 156 in radical form:**√156 or 2 √39

1. | What is the Square Root of 156? |

2. | How to discover the Square Root of 156? |

3. | Is the Square Root of 156 Irrational? |

4. | FAQs |

The square root of 156, (or root 156), is the number which once multiplied by itself gives the product as 156. Because of this, the square root of 156 = √156 = 2 √39 = 12.489995996796797.

**☛ Check: Square Root Calculator**

### Value of √156 by Long Division Method

**Explanation:**

As such, the square root of 156 by long department strategy is 12.4 approximately.

The actual value of √156 is unfigured out. The value of √156 as much as 25 decimal places is 12.48999599679679641169379. Hence, the square root of 156 is an irrational number.

**☛ Also Check:**

**Example 1: Solve the equation x2 − 156 = 0**

**Solution:**

x2 - 156 = 0 i.e. x2 = 156x = ±√156Because the value of the square root of 156 is 12.490,⇒ x = +√156 or -√156 = 12.490 or -12.490.

Show Systems >

go to slidego to slidego to slide

Ready to check out the civilization via math’s eyes?

Math is at the core of everything we perform. Enjoy resolving real-human being math troubles in live classes and come to be an expert at every little thing.

## FAQs on the Square Root of 156

### What is the Value of the Square Root of 156?

The square root of 156 is 12.48999.

### Why is the Square Root of 156 an Irrational Number?

Upon prime factorizing 156 i.e. 22 × 31 × 131, 3 is in odd power. Thus, the square root of 156 is irrational.

### What is the Square Root of 156 in Simplest Radical Form?

We must express 156 as the product of its prime factors i.e. 156 = 2 × 2 × 3 × 13. As such, √156 = √2 × 2 × 3 × 13 = 2 √39. Hence, the square root of 156 in the lowest radical form is 2 √39.

### What is the Square Root of -156?

The square root of -156 is an imaginary number. It deserve to be composed as √-156 = √-1 × √156 = i √156 = 12.489iwright here i = √-1 and it is called the imaginary unit.

### Is the number 156 a Perfect Square?

The prime factorization of 156 = 22 × 31 × 131. Here, the prime factor 3 is not in the pair. Because of this, 156 is not a perfect square.

See more: How Long Do Canned Refried Beans Last Once Opened? How Long Do Refried Beans Last In The Fridge

### What is the Value of 8 square root 156?

The square root of 156 is 12.490. As such, 8 √156 = 8 × 12.490 = 99.920.