Simplify Square Root of 6975

Here we will show you step-by-step how to simplify the square root of 6975. The square root of 6975 can be written as follows:


	√	6975

The √ symbol is called the radical sign. To simplify the square root of 6975 means to get the simplest radical form of √6975.

Step 1: List Factors
List the factors of 6975 like so:

1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975

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

1, 9, 25, 225

Step 3: Divide
Divide 6975 by the largest perfect square you found in the previous step:

6975 / 225 = 31

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

√225 = 15

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6975 in its simplest form:


15	√	31

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Decimal Form
Square Root of 6975 in Decimal form rounded to nearest 5 decimals:

83.51647

Exponent Form
Square Root of 6975 written with Exponent instead of Radical:

6975^½ = 15 x 31^½

Simplify Square Root of 6976
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* List of Perfect Squares