Understanding the Square Root of 39
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 39
The prime factors of 39 are: 3, 13
Properties of Square Root 39
- Square: 39
- Square Root: 6.244998
- Number Type: Irrational
- Perfect Square: No
Practical Applications
Geometry
If you have a square with an area of 39 square units, each side would measure √39 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 39 units, and one leg equals the other, each leg would measure √19.5 units.
Calculation Methods
Division Method
To approximate √39, you can use the division method:
- Take an approximate number (x)
- Divide 39 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 39?
The square root of 39 is 6.244997998398398, which is the number that, when multiplied by itself, gives 39.
Is 39 a prime number?
No, 39 is not a prime number.
Is √39 a rational or irrational number?
√39 is an irrational number because it cannot be expressed as an exact fraction of two integers.
How to simplify √39?
To simplify √39, we look for the largest perfect square that divides 39 and take it out of the root.