Understanding the Square Root of 134

Result

√134 = 11.575837

Step-by-Step Process

Step 1: Find the Prime Factors of 134

The prime factors of 134 are: 2, 67

Properties of Square Root 134

  • Square: 134
  • Square Root: 11.575837
  • Number Type: Irrational
  • Perfect Square: No

Practical Applications

Geometry

If you have a square with an area of 134 square units, each side would measure √134 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 134 units, and one leg equals the other, each leg would measure √67.0 units.

Calculation Methods

Division Method

To approximate √134, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 134 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 134?

The square root of 134 is 11.575836902790225, which is the number that, when multiplied by itself, gives 134.

Is 134 a prime number?

No, 134 is not a prime number.

Is √134 a rational or irrational number?

√134 is an irrational number because it cannot be expressed as an exact fraction of two integers.

How to simplify √134?

To simplify √134, we look for the largest perfect square that divides 134 and take it out of the root.