The square root of 176 is expressed together √176 in the radical type and together (176)½ or (176)0.5 in the exponent form. The square source of 176 rounded as much as 6 decimal locations is 13.266499. It is the positive solution the the equation x2 = 176. We have the right to express the square source of 176 in its lowest radical form as 4 √11.

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**Square root of 176:**13.2664991614216

**Square root of 176 in exponential form:**(176)½ or (176)0.5

**Square source of 176 in radical form:**√176 or 4 √11

1. | What is the Square root of 176? |

2. | How to discover the Square root of 176? |

3. | Is the Square root of 176 Irrational? |

4. | FAQs |

## What is the Square root of 176?

The square root of 176, (or source 176), is the number which as soon as multiplied through itself provides the product together 176. Therefore, the square root of 176 = √176 = 4 √11 = 13.2664991614216.

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## How to uncover Square root of 176?

### Value that √176 by Long department Method

**Explanation:**

Therefore, the square root of 176 by long department method is 13.2 approx.

## Is Square root of 176 Irrational?

The actual value of √176 is undetermined. The worth of √176 approximately 25 decimal places is 13.26649916142159939645973. Hence, the square source of 176 is one irrational number.

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## Square source of 176 fixed Examples

**Example 1: fix the equation x2 − 176 = 0**

**Solution:**

x2 - 176 = 0 i.e. X2 = 176x = ±√176Since the value of the square source of 176 is 13.266,⇒ x = +√176 or -√176 = 13.266 or -13.266.

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## FAQs on the Square root of 176

### What is the worth of the Square root of 176?

The square source of 176 is 13.26649.

### Why is the Square root of 176 an Irrational Number?

Upon element factorizing 176 i.e. 24 × 111, 11 is in odd power. Therefore, the square root of 176 is irrational.

### What is the Square root of -176?

The square source of -176 is an imagine number. It have the right to be composed as √-176 = √-1 × √176 = ns √176 = 13.266iwhere i = √-1 and also it is called the imagine unit.

### If the Square root of 176 is 13.266. Find the worth of the Square root of 1.76.

Let us represent √1.76 in p/q form i.e. √(176/100) = 1.76/10 = 1.327. Hence, the value of √1.76 = 1.327

### What is the Square root of 176 in easiest Radical Form?

We must express 176 as the product of its prime components i.e. 176 = 2 × 2 × 2 × 2 × 11. Therefore, √176 = √2 × 2 × 2 × 2 × 11 = 4 √11. Thus, the square root of 176 in the shortest radical kind is 4 √11.

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### What is the worth of 8 square source 176?

The square root of 176 is 13.266. Therefore, 8 √176 = 8 × 13.266 = 106.132.