Simplify Square Root of 2640

Here we will show you step-by-step how to simplify the square root of 2640. The square root of 2640 can be written as follows:


	√	2640

The √ symbol is called the radical sign. To simplify the square root of 2640 means to get the simplest radical form of √2640.

Step 1: List Factors
List the factors of 2640 like so:

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640

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

1, 4, 16

Step 3: Divide
Divide 2640 by the largest perfect square you found in the previous step:

2640 / 16 = 165

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 2640 in its simplest form:


4	√	165

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Decimal Form
Square Root of 2640 in Decimal form rounded to nearest 5 decimals:

51.38093

Exponent Form
Square Root of 2640 written with Exponent instead of Radical:

2640^½ = 4 x 165^½

Simplify Square Root of 2641
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* List of Perfect Squares