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
**