Simplify Square Root of 5022

Here we will show you step-by-step how to simplify the square root of 5022. The square root of 5022 can be written as follows:


	√	5022

The √ symbol is called the radical sign. To simplify the square root of 5022 means to get the simplest radical form of √5022.

Step 1: List Factors
List the factors of 5022 like so:

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022

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

1, 9, 81

Step 3: Divide
Divide 5022 by the largest perfect square you found in the previous step:

5022 / 81 = 62

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5022 in its simplest form:


9	√	62

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Decimal Form
Square Root of 5022 in Decimal form rounded to nearest 5 decimals:

70.86607

Exponent Form
Square Root of 5022 written with Exponent instead of Radical:

5022^½ = 9 x 62^½

Simplify Square Root of 5023
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* List of Perfect Squares