Simplify Square Root of 8232

Here we will show you step-by-step how to simplify the square root of 8232. The square root of 8232 can be written as follows:


	√	8232

The √ symbol is called the radical sign. To simplify the square root of 8232 means to get the simplest radical form of √8232.

Step 1: List Factors
List the factors of 8232 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232

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

1, 4, 49, 196

Step 3: Divide
Divide 8232 by the largest perfect square you found in the previous step:

8232 / 196 = 42

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8232 in its simplest form:


14	√	42

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Decimal Form
Square Root of 8232 in Decimal form rounded to nearest 5 decimals:

90.73037

Exponent Form
Square Root of 8232 written with Exponent instead of Radical:

8232^½ = 14 x 42^½

Simplify Square Root of 8233
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* List of Perfect Squares