Simplify Square Root of 928

Here we will show you step-by-step how to simplify the square root of 928. The square root of 928 can be written as follows:


	√	928

The √ symbol is called the radical sign. To simplify the square root of 928 means to get the simplest radical form of √928.

Step 1: List Factors
List the factors of 928 like so:

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

1, 4, 16

Step 3: Divide
Divide 928 by the largest perfect square you found in the previous step:

928 / 16 = 58

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 928 in its simplest form:


4	√	58

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Decimal Form
Square Root of 928 in Decimal form rounded to nearest 5 decimals:

30.46309

Exponent Form
Square Root of 928 written with Exponent instead of Radical:

928^½ = 4 x 58^½

Simplify Square Root of 929
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* List of Perfect Squares