Understanding the Square Root of 128
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 128
The prime factors of 128 are: 2, 2, 2, 2, 2, 2, 2
Properties of Square Root 128
- Square: 128
- Square Root: 11.313708
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 128 square units, each side would measure √128 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 128 units, and one leg equals the other, each leg would measure √64.0 units.
Calculation Methods
Division Method
To approximate √128, you can use the division method:
- Take an approximate number (x)
- Divide 128 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 128?
The square root of 128 is 11.313708498984761, which is the number that, when multiplied by itself, gives 128.
Is 128 a prime number?
No, 128 is not a prime number.
Is √128 a rational or irrational number?
√128 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √128?
To simplify √128, we look for the largest perfect square that divides 128 and take it out of the root.