Understanding the Square Root of 118
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 118
The prime factors of 118 are: 2, 59
Properties of Square Root 118
- Square: 118
- Square Root: 10.862780
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 118 square units, each side would measure √118 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 118 units, and one leg equals the other, each leg would measure √59.0 units.
Calculation Methods
Division Method
To approximate √118, you can use the division method:
- Take an approximate number (x)
- Divide 118 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 118?
The square root of 118 is 10.862780491200215, which is the number that, when multiplied by itself, gives 118.
Is 118 a prime number?
No, 118 is not a prime number.
Is √118 a rational or irrational number?
√118 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √118?
To simplify √118, we look for the largest perfect square that divides 118 and take it out of the root.