Simplify Square Root of 6678

Here we will show you step-by-step how to simplify the square root of 6678. The square root of 6678 can be written as follows:


	√	6678

The √ symbol is called the radical sign. To simplify the square root of 6678 means to get the simplest radical form of √6678.

Step 1: List Factors
List the factors of 6678 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678

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

1, 9

Step 3: Divide
Divide 6678 by the largest perfect square you found in the previous step:

6678 / 9 = 742

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6678 in its simplest form:


3	√	742

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Decimal Form
Square Root of 6678 in Decimal form rounded to nearest 5 decimals:

81.71903

Exponent Form
Square Root of 6678 written with Exponent instead of Radical:

6678^½ = 3 x 742^½

Simplify Square Root of 6679
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* List of Perfect Squares