Simplify Square Root of 6825

Here we will show you step-by-step how to simplify the square root of 6825. The square root of 6825 can be written as follows:


	√	6825

The √ symbol is called the radical sign. To simplify the square root of 6825 means to get the simplest radical form of √6825.

Step 1: List Factors
List the factors of 6825 like so:

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825

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

1, 25

Step 3: Divide
Divide 6825 by the largest perfect square you found in the previous step:

6825 / 25 = 273

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6825 in its simplest form:


5	√	273

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Decimal Form
Square Root of 6825 in Decimal form rounded to nearest 5 decimals:

82.61356

Exponent Form
Square Root of 6825 written with Exponent instead of Radical:

6825^½ = 5 x 273^½

Simplify Square Root of 6826
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* List of Perfect Squares