The square source of 174 is expressed together √174 in the radical type and together (174)½ or (174)0.5 in the exponent form. The square source of 174 rounded up to 8 decimal areas is 13.19090596. That is the hopeful solution of the equation x2 = 174.

You are watching: What is the square root of 174

1. | What is the Square source of 174? |

2. | How to discover the Square root of 174? |

3. | Is the Square source of 174 Irrational? |

4. | FAQs |

**☛ Check: Square source Calculator**

### Value the √174 through Long department Method

**Explanation:**

Therefore, the square source of 174 through long division method is 13.1 approx.

**☛ likewise Check:**

**Example 1: resolve the equation x2 − 174 = 0**

**Solution:**

x2 - 174 = 0 i.e. X2 = 174x = ±√174Since the worth of the square root of 174 is 13.191,⇒ x = +√174 or -√174 = 13.191 or -13.191.

**Example 2: If the area of a circle is 174π in2. Uncover the radius of the circle.**

**Solution:**

Let "r" it is in the radius the the circle.⇒ Area that the one = πr2 = 174π in2⇒ r = ±√174 inSince radius can"t be negative,⇒ r = √174The square root of 174 is 13.191.⇒ r = 13.191 in

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## FAQs top top the Square source of 174

### What is the worth of the Square source of 174?

The square source of 174 is 13.1909.

### Why is the Square source of 174 one Irrational Number?

Upon prime factorizing 174 i.e. 21 × 31 × 291, 2 is in odd power. Therefore, the square root of 174 is irrational.

### What is the Square the the Square root of 174?

The square of the square source of 174 is the number 174 itself i.e. (√174)2 = (174)2/2 = 174.

### Evaluate 3 plus 13 square source 174

The given expression is 3 + 13 √174. We know that the square source of 174 is 13.191. Therefore, 3 + 13 √174 = 3 + 13 × 13.191 = 3 + 171.482 = 174.482

### If the Square source of 174 is 13.191. Discover the worth of the Square source of 1.74.

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Let us stand for √1.74 in p/q type i.e. √(174/100) = 1.74/10 = 1.319. Hence, the worth of √1.74 = 1.319

### What is the Square source of -174?

The square root of -174 is an imaginary number. It can be written as √-174 = √-1 × √174 = i √174 = 13.19iwhere ns = √-1 and also it is called the imaginary unit.