Understanding the Square Root of 16
Result
Step-by-Step Process
Step 1: Find the Prime Factors of 16
The prime factors of 16 are: 2, 2, 2, 2
Properties of Square Root 16
- Square: 16
- Square Root: 4.000000
- Number Type: Rational
- Perfect Square: Yes
Practical Applications
Geometry
If you have a square with an area of 16 square units, each side would measure √16 units.
Pythagorean Theorem
In a right triangle, if the hypotenuse measures 16 units, and one leg equals the other, each leg would measure √8.0 units.
Calculation Methods
Division Method
To approximate √16, you can use the division method:
- Take an approximate number (x)
- Divide 16 by x
- Average x with the result
- Repeat the process for greater accuracy
Frequently Asked Questions
What is the square root of 16?
The square root of 16 is 4.0, which is the number that, when multiplied by itself, gives 16.
Is 16 a prime number?
No, 16 is not a prime number.
Is √16 a rational or irrational number?
√16 is a rational number because it results in the integer 4.0.
How to simplify √16?
To simplify √16, we look for the largest perfect square that divides 16 and take it out of the root.