
Here we will show you step-by-step how to simplify the square root of 6844. The square root of 6844 can be written as follows:
√ | 6844 |
The √ symbol is called the radical sign. To simplify the square root of 6844 means to get the simplest radical form of √6844.
Step 1: List Factors
List the factors of 6844 like so:
1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 6844 by the largest perfect square you found in the previous step:
6844 / 4 = 1711
Step 4: Calculate
Calculate the square root of the largest perfect square:
√4 = 2
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6844 in its simplest form:
2 | √ | 1711 |
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Decimal Form
Square Root of 6844 in Decimal form rounded to nearest 5 decimals:
82.72847
Exponent Form
Square Root of 6844 written with Exponent instead of Radical:
6844½ = 2 x 1711½
Simplify Square Root of 6845
The answer to Simplify Square Root of 6844 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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