Simplify Square Root of 6675

Here we will show you step-by-step how to simplify the square root of 6675. The square root of 6675 can be written as follows:


	√	6675

The √ symbol is called the radical sign. To simplify the square root of 6675 means to get the simplest radical form of √6675.

Step 1: List Factors
List the factors of 6675 like so:

1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675

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

1, 25

Step 3: Divide
Divide 6675 by the largest perfect square you found in the previous step:

6675 / 25 = 267

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 6675 in its simplest form:


5	√	267

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Decimal Form
Square Root of 6675 in Decimal form rounded to nearest 5 decimals:

81.70067

Exponent Form
Square Root of 6675 written with Exponent instead of Radical:

6675^½ = 5 x 267^½

Simplify Square Root of 6676
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* List of Perfect Squares