Simplify Square Root of 2232

Here we will show you step-by-step how to simplify the square root of 2232. The square root of 2232 can be written as follows:


	√	2232

The √ symbol is called the radical sign. To simplify the square root of 2232 means to get the simplest radical form of √2232.

Step 1: List Factors
List the factors of 2232 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232

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

1, 4, 9, 36

Step 3: Divide
Divide 2232 by the largest perfect square you found in the previous step:

2232 / 36 = 62

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 2232 in its simplest form:


6	√	62

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Decimal Form
Square Root of 2232 in Decimal form rounded to nearest 5 decimals:

47.24405

Exponent Form
Square Root of 2232 written with Exponent instead of Radical:

2232^½ = 6 x 62^½

Simplify Square Root of 2233
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* List of Perfect Squares