Understanding the Square Root of 129

Result

√129 = 11.357817

Step-by-Step Process

Step 1: Find the Prime Factors of 129

The prime factors of 129 are: 3, 43

Properties of Square Root 129

  • Square: 129
  • Square Root: 11.357817
  • Number Type: Irrational
  • Perfect Square: No

Practical Applications

Geometry

If you have a square with an area of 129 square units, each side would measure √129 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 129 units, and one leg equals the other, each leg would measure √64.5 units.

Calculation Methods

Division Method

To approximate √129, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 129 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 129?

The square root of 129 is 11.357816691600547, which is the number that, when multiplied by itself, gives 129.

Is 129 a prime number?

No, 129 is not a prime number.

Is √129 a rational or irrational number?

√129 is an irrational number because it cannot be expressed as an exact fraction of two integers.

How to simplify √129?

To simplify √129, we look for the largest perfect square that divides 129 and take it out of the root.