Understanding the Square Root of 4

Result

√4 = 2.000000

Step-by-Step Process

Step 1: Find the Prime Factors of 4

The prime factors of 4 are: 2, 2

Properties of Square Root 4

  • Square: 4
  • Square Root: 2.000000
  • Number Type: Rational
  • Perfect Square: Yes

Practical Applications

Geometry

If you have a square with an area of 4 square units, each side would measure √4 units.

Pythagorean Theorem

In a right triangle, if the hypotenuse measures 4 units, and one leg equals the other, each leg would measure √2.0 units.

Calculation Methods

Division Method

To approximate √4, you can use the division method:

  1. Take an approximate number (x)
  2. Divide 4 by x
  3. Average x with the result
  4. Repeat the process for greater accuracy

Frequently Asked Questions

What is the square root of 4?

The square root of 4 is 2.0, which is the number that, when multiplied by itself, gives 4.

Is 4 a prime number?

No, 4 is not a prime number.

Is √4 a rational or irrational number?

√4 is a rational number because it results in the integer 2.0.

How to simplify √4?

To simplify √4, we look for the largest perfect square that divides 4 and take it out of the root.