The square root of 152 is expressed as √152 in the radical form and as (152)½ or (152)0.5 in the exponent form. The square root of 152 rounded up to 7 decimal places is 12.3288280. It is the positive solution of the equation x2 = 152. We can express the square root of 152 in its lowest radical form as 2 √38.

You are watching: What is the square root of 152

**Square Root of 152:**12.328828005937952

**Square Root of 152 in exponential form:**(152)½ or (152)0.5

**Square Root of 152 in radical form:**√152 or 2 √38

1. | What is the Square Root of 152? |

2. | How to find the Square Root of 152? |

3. | Is the Square Root of 152 Irrational? |

4. | FAQs |

The square root of 152, (or root 152), is the number which when multiplied by itself gives the product as 152. Therefore, the square root of 152 = √152 = 2 √38 = 12.328828005937952.

**☛ Check: Square Root Calculator**

### Value of √152 by Long Division Method

**Explanation:**

Therefore, the square root of 152 by long division method is 12.3 approximately.

**☛ Also Check:**

**Example 1: Solve the equation x2 − 152 = 0**

**Solution:**

x2 - 152 = 0 i.e. x2 = 152x = ±√152Since the value of the square root of 152 is 12.329,⇒ x = +√152 or -√152 = 12.329 or -12.329.

Show Solution >

go to slidego to slidego to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

## FAQs on the Square Root of 152

### What is the Value of the Square Root of 152?

The square root of 152 is 12.32882.

### Why is the Square Root of 152 an Irrational Number?

Upon prime factorizing 152 i.e. 23 × 191, 2 is in odd power. Therefore, the square root of 152 is irrational.

### What is the Value of 10 square root 152?

The square root of 152 is 12.329. Therefore, 10 √152 = 10 × 12.329 = 123.288.

### What is the Square Root of -152?

The square root of -152 is an imaginary number. It can be written as √-152 = √-1 × √152 = i √152 = 12.328iwhere i = √-1 and it is called the imaginary unit.

### What is the Square of the Square Root of 152?

The square of the square root of 152 is the number 152 itself i.e. (√152)2 = (152)2/2 = 152.

See more: Thank You Mama For Praying For Me Chords, Chords For Thank You Mama For Praying For Me

### If the Square Root of 152 is 12.329. Find the Value of the Square Root of 1.52.

Let us represent √1.52 in p/q form i.e. √(152/100) = 1.52/10 = 1.233. Hence, the value of √1.52 = 1.233