Simplify Square Root of 500

Here we will show you step-by-step how to simplify the square root of 500. The square root of 500 can be written as follows:


	√	500

The √ symbol is called the radical sign. To simplify the square root of 500 means to get the simplest radical form of √500.

Step 1: List Factors
List the factors of 500 like so:

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 25, 100

Step 3: Divide
Divide 500 by the largest perfect square you found in the previous step:

500 / 100 = 5

Step 4: Calculate
Calculate the square root of the largest perfect square:

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 500 in its simplest form:


10	√	5

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 500 in Decimal form rounded to nearest 5 decimals:

22.36068

Exponent Form
Square Root of 500 written with Exponent instead of Radical:

500^½ = 10 x 5^½

Simplify Square Root of 501
The answer to Simplify Square Root of 500 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares