Simplify Square Root of 6704

Here we will show you step-by-step how to simplify the square root of 6704. The square root of 6704 can be written as follows:


	√	6704

The √ symbol is called the radical sign. To simplify the square root of 6704 means to get the simplest radical form of √6704.

Step 1: List Factors
List the factors of 6704 like so:

1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704

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

1, 4, 16

Step 3: Divide
Divide 6704 by the largest perfect square you found in the previous step:

6704 / 16 = 419

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6704 in its simplest form:


4	√	419

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Decimal Form
Square Root of 6704 in Decimal form rounded to nearest 5 decimals:

81.87796

Exponent Form
Square Root of 6704 written with Exponent instead of Radical:

6704^½ = 4 x 419^½

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* List of Perfect Squares