# What is the Exact Square Root of 4?

As you should know from your high school algebra course, the square root `y` of a number `x` is such that `y ^{2}` =

`x`. By multiplying the value

`y`by itself, we get the value

`x`. For instance, 2 the square root of 4 because 2

^{2}= 2×2 = 4.

Square root of 4 = **2**

The symbol √ is called**radix**, or **radical sign**

The number below

the radix is the **radicand**

## Is 4 a Perfect Square Root?

Yes. The square root of 4 is 2. Since 2 is a whole number, 4 is a perfect square.

Previous perfect square root is: 1

Next perfect square root is: 9

## The Prime Factors of 4 are:

2 × 2

## How Do You Simplify the Square Root of 4 in Radical Form?

The main point of simplification (to the simplest radical form of 4) is as follows: getting the number 4 inside the radical sign √ as low as possible.

4 = 2 × 2 = 2

Therefore, the answer is **2**.

## Is the Square Root of 4 Rational or Irrational?

Since 4 is a perfect square (it's square root will have no decimals), **it is a rational number**.

## The Babylonian (or Heron’s) Method (Step-By-Step)

Step | Sequencing |
---|---|

1 | In step 1, we need to make our first guess about the value of the square root of 4. To do this, divide the number 4 by 2. As a result of dividing 4/2, we get |

2 | Next, we need to divide 4 by the result of the previous step (2). Calculate the arithmetic mean of this value (2) and the result of step 1 (2). Calculate the error by subtracting the previous value from the new guess. Stop the iterations as the margin of error is less than 0.001 |

Result | ✅ We found the result: 2 In this case, it took us two steps to find the result. |