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