Simplify Square Root of 5684

Here we will show you step-by-step how to simplify the square root of 5684. The square root of 5684 can be written as follows:


	√	5684

The √ symbol is called the radical sign. To simplify the square root of 5684 means to get the simplest radical form of √5684.

Step 1: List Factors
List the factors of 5684 like so:

1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684

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

1, 4, 49, 196

Step 3: Divide
Divide 5684 by the largest perfect square you found in the previous step:

5684 / 196 = 29

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5684 in its simplest form:


14	√	29

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Decimal Form
Square Root of 5684 in Decimal form rounded to nearest 5 decimals:

75.39231

Exponent Form
Square Root of 5684 written with Exponent instead of Radical:

5684^½ = 14 x 29^½

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* List of Perfect Squares