Simplify Square Root of 8832

Here we will show you step-by-step how to simplify the square root of 8832. The square root of 8832 can be written as follows:


	√	8832

The √ symbol is called the radical sign. To simplify the square root of 8832 means to get the simplest radical form of √8832.

Step 1: List Factors
List the factors of 8832 like so:

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832

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

1, 4, 16, 64

Step 3: Divide
Divide 8832 by the largest perfect square you found in the previous step:

8832 / 64 = 138

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8832 in its simplest form:


8	√	138

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Decimal Form
Square Root of 8832 in Decimal form rounded to nearest 5 decimals:

93.97872

Exponent Form
Square Root of 8832 written with Exponent instead of Radical:

8832^½ = 8 x 138^½

Simplify Square Root of 8833
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* List of Perfect Squares