Simplify Square Root of 2664

Here we will show you step-by-step how to simplify the square root of 2664. The square root of 2664 can be written as follows:


	√	2664

The √ symbol is called the radical sign. To simplify the square root of 2664 means to get the simplest radical form of √2664.

Step 1: List Factors
List the factors of 2664 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664

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

1, 4, 9, 36

Step 3: Divide
Divide 2664 by the largest perfect square you found in the previous step:

2664 / 36 = 74

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2664 in its simplest form:


6	√	74

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Decimal Form
Square Root of 2664 in Decimal form rounded to nearest 5 decimals:

51.61395

Exponent Form
Square Root of 2664 written with Exponent instead of Radical:

2664^½ = 6 x 74^½

Simplify Square Root of 2665
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* List of Perfect Squares