Simplify Square Root of 5208

Here we will show you step-by-step how to simplify the square root of 5208. The square root of 5208 can be written as follows:


	√	5208

The √ symbol is called the radical sign. To simplify the square root of 5208 means to get the simplest radical form of √5208.

Step 1: List Factors
List the factors of 5208 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 56, 62, 84, 93, 124, 168, 186, 217, 248, 372, 434, 651, 744, 868, 1302, 1736, 2604, 5208

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

1, 4

Step 3: Divide
Divide 5208 by the largest perfect square you found in the previous step:

5208 / 4 = 1302

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 5208 in its simplest form:


2	√	1302

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Decimal Form
Square Root of 5208 in Decimal form rounded to nearest 5 decimals:

72.16647

Exponent Form
Square Root of 5208 written with Exponent instead of Radical:

5208^½ = 2 x 1302^½

Simplify Square Root of 5209
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* List of Perfect Squares