Simplify Square Root of 6732

Here we will show you step-by-step how to simplify the square root of 6732. The square root of 6732 can be written as follows:


	√	6732

The √ symbol is called the radical sign. To simplify the square root of 6732 means to get the simplest radical form of √6732.

Step 1: List Factors
List the factors of 6732 like so:

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732

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

1, 4, 9, 36

Step 3: Divide
Divide 6732 by the largest perfect square you found in the previous step:

6732 / 36 = 187

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 6732 in its simplest form:


6	√	187

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 6732 in Decimal form rounded to nearest 5 decimals:

82.04877

Exponent Form
Square Root of 6732 written with Exponent instead of Radical:

6732^½ = 6 x 187^½

Simplify Square Root of 6733
The answer to Simplify Square Root of 6732 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares