# Square Root of 400

This is a step by step guide on how to find the Square root of 400

What is the Square Root of 400

The square root of 400 refers to a number that can be multiplied by itself to produce 400. The Square root of 400  is 20. It can be represented mathematically as √400. The symbol for square root in mathematics is .

√400 = 20

Is 400 a perfect square?

A perfect square refers to a number whose square root is a whole number.

How to find The Square Root of 400

If 400 is a perfect square then its square root will be a whole number, else it will be a decimal. Examples of perfect squares include 4, 9, 16, 25, 36, 49, 64, 81, and 100. There are several methods of finding the square root of a number

1. Using a calculator

2. Using Prime factorization

3. Using Long Division.

4. Using an Excel spreadsheet

Using a calculator is the easiest method. You just have to type the square root symbol
followed by 400 and press enter

The square root of X using Prime Factorization

Prime factors of 400 refer to factors that are prime numbers

Step 1: List the prime factors of 400

Step 2: Form pairs of the same numbers from the prime factors √x = √(A x A)x (B XB)

Step 3: Pick one number from each pair

Step 4: Multiply the numbers A x B

Therefore √400 = 20 The square root of 400 using Long Division Method

Step 1: Mark pairs for the one’s side

Step 2: Find the perfect square equal or lower to the number

Step 3: Multiply above and add below

Step 4: Subtract the product from the number above it

Step 5: Drop the next pair down

Step 6: Use trial and error

Step 7: Repeat the same process until you achieve your desired decimal points As you can see from the image above the square root of 400 rounded off to 4 decimal places is 20.0000

The square root of 400 using Excel

Excel allows users to find the square root of numbers using a built-in function SQRT()

Just type this function in an empty cell with 400 in between the brackets and press enter. =SQRT(400)

The square root of 400 using Excel is 20

Square Root Calculator

Square Root calculator