Simplify Square Root of 5928

Here we will show you step-by-step how to simplify the square root of 5928. The square root of 5928 can be written as follows:


	√	5928

The √ symbol is called the radical sign. To simplify the square root of 5928 means to get the simplest radical form of √5928.

Step 1: List Factors
List the factors of 5928 like so:

1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928

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

1, 4

Step 3: Divide
Divide 5928 by the largest perfect square you found in the previous step:

5928 / 4 = 1482

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 5928 in its simplest form:


2	√	1482

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Decimal Form
Square Root of 5928 in Decimal form rounded to nearest 5 decimals:

76.99351

Exponent Form
Square Root of 5928 written with Exponent instead of Radical:

5928^½ = 2 x 1482^½

Simplify Square Root of 5929
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* List of Perfect Squares