Simplify Square Root of 5664

Here we will show you step-by-step how to simplify the square root of 5664. The square root of 5664 can be written as follows:


	√	5664

The √ symbol is called the radical sign. To simplify the square root of 5664 means to get the simplest radical form of √5664.

Step 1: List Factors
List the factors of 5664 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664

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

1, 4, 16

Step 3: Divide
Divide 5664 by the largest perfect square you found in the previous step:

5664 / 16 = 354

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5664 in its simplest form:


4	√	354

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Decimal Form
Square Root of 5664 in Decimal form rounded to nearest 5 decimals:

75.25955

Exponent Form
Square Root of 5664 written with Exponent instead of Radical:

5664^½ = 4 x 354^½

Simplify Square Root of 5665
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* List of Perfect Squares