Understanding the Square Root of 26

Result

√26 = 5.099020

Step-by-Step Process

Step 1: Find the Prime Factors of 26

The prime factors of 26 are: 2, 13

Properties of Square Root 26

  • Square: 26
  • Square Root: 5.099020
  • Number Type: Irrational
  • Perfect Square: No

Practical Applications

Geometry

If you have a square with an area of 26 square units, each side would measure √26 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 26 units, and one leg equals the other, each leg would measure √13.0 units.

Calculation Methods

Division Method

To approximate √26, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 26 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 26?

The square root of 26 is 5.0990195135927845, which is the number that, when multiplied by itself, gives 26.

Is 26 a prime number?

No, 26 is not a prime number.

Is √26 a rational or irrational number?

√26 is an irrational number because it cannot be expressed as an exact fraction of two integers.

How to simplify √26?

To simplify √26, we look for the largest perfect square that divides 26 and take it out of the root.