Understanding the Square Root of 130

Result

√130 = 11.401754

Step-by-Step Process

Step 1: Find the Prime Factors of 130

The prime factors of 130 are: 2, 5, 13

Properties of Square Root 130

  • Square: 130
  • Square Root: 11.401754
  • Number Type: Irrational
  • Perfect Square: No

Practical Applications

Geometry

If you have a square with an area of 130 square units, each side would measure √130 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 130 units, and one leg equals the other, each leg would measure √65.0 units.

Calculation Methods

Division Method

To approximate √130, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 130 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 130?

The square root of 130 is 11.40175425099138, which is the number that, when multiplied by itself, gives 130.

Is 130 a prime number?

No, 130 is not a prime number.

Is √130 a rational or irrational number?

√130 is an irrational number because it cannot be expressed as an exact fraction of two integers.

How to simplify √130?

To simplify √130, we look for the largest perfect square that divides 130 and take it out of the root.