Understanding the Square Root of 5
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 5
5 is a prime number.
Since 5 is a prime number, the square root of 5 is already in its simplest form.
Properties of Square Root 5
- Square: 5
- Square Root: 2.236068
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 5 square units, each side would measure √5 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 5 units, and one leg equals the other, each leg would measure √2.5 units.
Calculation Methods
Division Method
To approximate √5, you can use the division method:
- Take an approximate number (x)
- Divide 5 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 5?
The square root of 5 is 2.23606797749979, which is the number that, when multiplied by itself, gives 5.
Is 5 a prime number?
Yes, 5 is a prime number.
Is √5 a rational or irrational number?
√5 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √5?
Since 5 is a prime number, √5 is already in its simplest form.