Simplify Square Root of 6647

Here we will show you step-by-step how to simplify the square root of 6647. The square root of 6647 can be written as follows:


	√	6647

The √ symbol is called the radical sign. To simplify the square root of 6647 means to get the simplest radical form of √6647.

Step 1: List Factors
List the factors of 6647 like so:

1, 17, 23, 289, 391, 6647

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

1, 289

Step 3: Divide
Divide 6647 by the largest perfect square you found in the previous step:

6647 / 289 = 23

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

√289 = 17

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6647 in its simplest form:


17	√	23

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Decimal Form
Square Root of 6647 in Decimal form rounded to nearest 5 decimals:

81.52914

Exponent Form
Square Root of 6647 written with Exponent instead of Radical:

6647^½ = 17 x 23^½

Simplify Square Root of 6648
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* List of Perfect Squares