Understanding the Square Root of 131

Result

√131 = 11.445523

Step-by-Step Process

Step 1: Find the Prime Factors of 131

131 is a prime number.

Since 131 is a prime number, the square root of 131 is already in its simplest form.

Properties of Square Root 131

  • Square: 131
  • Square Root: 11.445523
  • Number Type: Irrational
  • Perfect Square: No

Practical Applications

Geometry

If you have a square with an area of 131 square units, each side would measure √131 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 131 units, and one leg equals the other, each leg would measure √65.5 units.

Calculation Methods

Division Method

To approximate √131, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 131 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 131?

The square root of 131 is 11.445523142259598, which is the number that, when multiplied by itself, gives 131.

Is 131 a prime number?

Yes, 131 is a prime number.

Is √131 a rational or irrational number?

√131 is an irrational number because it cannot be expressed as an exact fraction of two integers.

How to simplify √131?

Since 131 is a prime number, √131 is already in its simplest form.