Simplify Square Root of 2646

Here we will show you step-by-step how to simplify the square root of 2646. The square root of 2646 can be written as follows:


	√	2646

The √ symbol is called the radical sign. To simplify the square root of 2646 means to get the simplest radical form of √2646.

Step 1: List Factors
List the factors of 2646 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646

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

1, 9, 49, 441

Step 3: Divide
Divide 2646 by the largest perfect square you found in the previous step:

2646 / 441 = 6

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2646 in its simplest form:


21	√	6

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Decimal Form
Square Root of 2646 in Decimal form rounded to nearest 5 decimals:

51.43928

Exponent Form
Square Root of 2646 written with Exponent instead of Radical:

2646^½ = 21 x 6^½

Simplify Square Root of 2647
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* List of Perfect Squares