# Square Root of 101

This is a step by step guide on how to find the Square root of 101

What is the Square Root of 101

The square root of 101 refers to a number that can be multiplied by itself to produce 101. The Square root of 101  is 10.04987562. It can be represented mathematically as √101. The symbol for square root in mathematics is .

√101 = 10.04987562

Is 101 a perfect square?

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

How to find The Square Root of 101

If 101 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 101 and press enter

The square root of X using Prime Factorization

Prime factors of 101 refer to factors that are prime numbers

Step 1: List the prime factors of 101

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 √101 = 10.04987562 The square root of 101 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 101 rounded off to 4 decimal places is 10.0499

The square root of 101 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 101 in between the brackets and press enter. =SQRT(101)

The square root of 101 using Excel is 10.04987562

Square Root Calculator

Square Root calculator