Simplify Square Root of 6840

Here we will show you step-by-step how to simplify the square root of 6840. The square root of 6840 can be written as follows:


	√	6840

The √ symbol is called the radical sign. To simplify the square root of 6840 means to get the simplest radical form of √6840.

Step 1: List Factors
List the factors of 6840 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840

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

1, 4, 9, 36

Step 3: Divide
Divide 6840 by the largest perfect square you found in the previous step:

6840 / 36 = 190

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 6840 in its simplest form:


6	√	190

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Decimal Form
Square Root of 6840 in Decimal form rounded to nearest 5 decimals:

82.70429

Exponent Form
Square Root of 6840 written with Exponent instead of Radical:

6840^½ = 6 x 190^½

Simplify Square Root of 6841
The answer to Simplify Square Root of 6840 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares