Simplify Square Root of 2652

Here we will show you step-by-step how to simplify the square root of 2652. The square root of 2652 can be written as follows:


	√	2652

The √ symbol is called the radical sign. To simplify the square root of 2652 means to get the simplest radical form of √2652.

Step 1: List Factors
List the factors of 2652 like so:

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652

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

1, 4

Step 3: Divide
Divide 2652 by the largest perfect square you found in the previous step:

2652 / 4 = 663

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2652 in its simplest form:


2	√	663

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Decimal Form
Square Root of 2652 in Decimal form rounded to nearest 5 decimals:

51.49757

Exponent Form
Square Root of 2652 written with Exponent instead of Radical:

2652^½ = 2 x 663^½

Simplify Square Root of 2653
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* List of Perfect Squares