Simplify Square Root of 6845

Here we will show you step-by-step how to simplify the square root of 6845. The square root of 6845 can be written as follows:


	√	6845

The √ symbol is called the radical sign. To simplify the square root of 6845 means to get the simplest radical form of √6845.

Step 1: List Factors
List the factors of 6845 like so:

1, 5, 37, 185, 1369, 6845

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

1, 1369

Step 3: Divide
Divide 6845 by the largest perfect square you found in the previous step:

6845 / 1369 = 5

Step 4: Calculate
Calculate the square root of the largest perfect square:

√1369 = 37

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6845 in its simplest form:


37	√	5

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Decimal Form
Square Root of 6845 in Decimal form rounded to nearest 5 decimals:

82.73452

Exponent Form
Square Root of 6845 written with Exponent instead of Radical:

6845^½ = 37 x 5^½

Simplify Square Root of 6846
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* List of Perfect Squares