Simplify Square Root of 5236

Here we will show you step-by-step how to simplify the square root of 5236. The square root of 5236 can be written as follows:


	√	5236

The √ symbol is called the radical sign. To simplify the square root of 5236 means to get the simplest radical form of √5236.

Step 1: List Factors
List the factors of 5236 like so:

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236

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

1, 4

Step 3: Divide
Divide 5236 by the largest perfect square you found in the previous step:

5236 / 4 = 1309

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5236 in its simplest form:


2	√	1309

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Decimal Form
Square Root of 5236 in Decimal form rounded to nearest 5 decimals:

72.36021

Exponent Form
Square Root of 5236 written with Exponent instead of Radical:

5236^½ = 2 x 1309^½

Simplify Square Root of 5237
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* List of Perfect Squares