Simplify Square Root of 6875

Here we will show you step-by-step how to simplify the square root of 6875. The square root of 6875 can be written as follows:


	√	6875

The √ symbol is called the radical sign. To simplify the square root of 6875 means to get the simplest radical form of √6875.

Step 1: List Factors
List the factors of 6875 like so:

1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875

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

1, 25, 625

Step 3: Divide
Divide 6875 by the largest perfect square you found in the previous step:

6875 / 625 = 11

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

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6875 in its simplest form:


25	√	11

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Decimal Form
Square Root of 6875 in Decimal form rounded to nearest 5 decimals:

82.91562

Exponent Form
Square Root of 6875 written with Exponent instead of Radical:

6875^½ = 25 x 11^½

Simplify Square Root of 6876
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* List of Perfect Squares