Understanding the Square Root of 136
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 136
The prime factors of 136 are: 2, 2, 2, 17
Properties of Square Root 136
- Square: 136
- Square Root: 11.661904
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 136 square units, each side would measure √136 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 136 units, and one leg equals the other, each leg would measure √68.0 units.
Calculation Methods
Division Method
To approximate √136, you can use the division method:
- Take an approximate number (x)
- Divide 136 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 136?
The square root of 136 is 11.661903789690601, which is the number that, when multiplied by itself, gives 136.
Is 136 a prime number?
No, 136 is not a prime number.
Is √136 a rational or irrational number?
√136 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √136?
To simplify √136, we look for the largest perfect square that divides 136 and take it out of the root.