Simplify Square Root of 8928

Here we will show you step-by-step how to simplify the square root of 8928. The square root of 8928 can be written as follows:


	√	8928

The √ symbol is called the radical sign. To simplify the square root of 8928 means to get the simplest radical form of √8928.

Step 1: List Factors
List the factors of 8928 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 8928 by the largest perfect square you found in the previous step:

8928 / 144 = 62

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8928 in its simplest form:


12	√	62

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Decimal Form
Square Root of 8928 in Decimal form rounded to nearest 5 decimals:

94.48809

Exponent Form
Square Root of 8928 written with Exponent instead of Radical:

8928^½ = 12 x 62^½

Simplify Square Root of 8929
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* List of Perfect Squares