Understanding the Square Root of 126
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 126
The prime factors of 126 are: 2, 3, 3, 7
Properties of Square Root 126
- Square: 126
- Square Root: 11.224972
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 126 square units, each side would measure √126 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 126 units, and one leg equals the other, each leg would measure √63.0 units.
Calculation Methods
Division Method
To approximate √126, you can use the division method:
- Take an approximate number (x)
- Divide 126 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 126?
The square root of 126 is 11.224972160321824, which is the number that, when multiplied by itself, gives 126.
Is 126 a prime number?
No, 126 is not a prime number.
Is √126 a rational or irrational number?
√126 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √126?
To simplify √126, we look for the largest perfect square that divides 126 and take it out of the root.