Understanding the Square Root of 16

Result

√16 = 4.000000

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:

  1. Take an approximate number (x)
  2. Divide 16 by x
  3. Average x with the result
  4. 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.