Simplify Square Root of 6948

Here we will show you step-by-step how to simplify the square root of 6948. The square root of 6948 can be written as follows:


	√	6948

The √ symbol is called the radical sign. To simplify the square root of 6948 means to get the simplest radical form of √6948.

Step 1: List Factors
List the factors of 6948 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948

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

1, 4, 9, 36

Step 3: Divide
Divide 6948 by the largest perfect square you found in the previous step:

6948 / 36 = 193

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 6948 in its simplest form:


6	√	193

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Decimal Form
Square Root of 6948 in Decimal form rounded to nearest 5 decimals:

83.35466

Exponent Form
Square Root of 6948 written with Exponent instead of Radical:

6948^½ = 6 x 193^½

Simplify Square Root of 6949
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* List of Perfect Squares