Simplify Square Root of 5688

Here we will show you step-by-step how to simplify the square root of 5688. The square root of 5688 can be written as follows:


	√	5688

The √ symbol is called the radical sign. To simplify the square root of 5688 means to get the simplest radical form of √5688.

Step 1: List Factors
List the factors of 5688 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688

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

1, 4, 9, 36

Step 3: Divide
Divide 5688 by the largest perfect square you found in the previous step:

5688 / 36 = 158

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5688 in its simplest form:


6	√	158

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Decimal Form
Square Root of 5688 in Decimal form rounded to nearest 5 decimals:

75.41883

Exponent Form
Square Root of 5688 written with Exponent instead of Radical:

5688^½ = 6 x 158^½

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* List of Perfect Squares