Simplify Square Root of 6832

Here we will show you step-by-step how to simplify the square root of 6832. The square root of 6832 can be written as follows:


	√	6832

The √ symbol is called the radical sign. To simplify the square root of 6832 means to get the simplest radical form of √6832.

Step 1: List Factors
List the factors of 6832 like so:

1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832

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

1, 4, 16

Step 3: Divide
Divide 6832 by the largest perfect square you found in the previous step:

6832 / 16 = 427

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 6832 in its simplest form:


4	√	427

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Decimal Form
Square Root of 6832 in Decimal form rounded to nearest 5 decimals:

82.65591

Exponent Form
Square Root of 6832 written with Exponent instead of Radical:

6832^½ = 4 x 427^½

Simplify Square Root of 6833
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* List of Perfect Squares