Simplify Square Root of 6984

Here we will show you step-by-step how to simplify the square root of 6984. The square root of 6984 can be written as follows:


	√	6984

The √ symbol is called the radical sign. To simplify the square root of 6984 means to get the simplest radical form of √6984.

Step 1: List Factors
List the factors of 6984 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984

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

1, 4, 9, 36

Step 3: Divide
Divide 6984 by the largest perfect square you found in the previous step:

6984 / 36 = 194

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 6984 in its simplest form:


6	√	194

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Decimal Form
Square Root of 6984 in Decimal form rounded to nearest 5 decimals:

83.57033

Exponent Form
Square Root of 6984 written with Exponent instead of Radical:

6984^½ = 6 x 194^½

Simplify Square Root of 6985
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* List of Perfect Squares