Simplify Square Root of 5013

Here we will show you step-by-step how to simplify the square root of 5013. The square root of 5013 can be written as follows:


	√	5013

The √ symbol is called the radical sign. To simplify the square root of 5013 means to get the simplest radical form of √5013.

Step 1: List Factors
List the factors of 5013 like so:

1, 3, 9, 557, 1671, 5013

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

1, 9

Step 3: Divide
Divide 5013 by the largest perfect square you found in the previous step:

5013 / 9 = 557

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5013 in its simplest form:


3	√	557

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Decimal Form
Square Root of 5013 in Decimal form rounded to nearest 5 decimals:

70.80254

Exponent Form
Square Root of 5013 written with Exponent instead of Radical:

5013^½ = 3 x 557^½

Simplify Square Root of 5014
The answer to Simplify Square Root of 5013 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares