Understanding the Square Root of 116
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 116
The prime factors of 116 are: 2, 2, 29
Properties of Square Root 116
- Square: 116
- Square Root: 10.770330
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 116 square units, each side would measure √116 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 116 units, and one leg equals the other, each leg would measure √58.0 units.
Calculation Methods
Division Method
To approximate √116, you can use the division method:
- Take an approximate number (x)
- Divide 116 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 116?
The square root of 116 is 10.770329614269007, which is the number that, when multiplied by itself, gives 116.
Is 116 a prime number?
No, 116 is not a prime number.
Is √116 a rational or irrational number?
√116 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √116?
To simplify √116, we look for the largest perfect square that divides 116 and take it out of the root.