Simplify Square Root of 5238

Here we will show you step-by-step how to simplify the square root of 5238. The square root of 5238 can be written as follows:


	√	5238

The √ symbol is called the radical sign. To simplify the square root of 5238 means to get the simplest radical form of √5238.

Step 1: List Factors
List the factors of 5238 like so:

1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238

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

1, 9

Step 3: Divide
Divide 5238 by the largest perfect square you found in the previous step:

5238 / 9 = 582

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 5238 in its simplest form:


3	√	582

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Decimal Form
Square Root of 5238 in Decimal form rounded to nearest 5 decimals:

72.37403

Exponent Form
Square Root of 5238 written with Exponent instead of Radical:

5238^½ = 3 x 582^½

Simplify Square Root of 5239
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* List of Perfect Squares