Simplify Square Root of 5239

Here we will show you step-by-step how to simplify the square root of 5239. The square root of 5239 can be written as follows:


	√	5239

The √ symbol is called the radical sign. To simplify the square root of 5239 means to get the simplest radical form of √5239.

Step 1: List Factors
List the factors of 5239 like so:

1, 13, 31, 169, 403, 5239

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

1, 169

Step 3: Divide
Divide 5239 by the largest perfect square you found in the previous step:

5239 / 169 = 31

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5239 in its simplest form:


13	√	31

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Decimal Form
Square Root of 5239 in Decimal form rounded to nearest 5 decimals:

72.38094

Exponent Form
Square Root of 5239 written with Exponent instead of Radical:

5239^½ = 13 x 31^½

Simplify Square Root of 5240
The answer to Simplify Square Root of 5239 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares