Simplify Square Root of 2628

Here we will show you step-by-step how to simplify the square root of 2628. The square root of 2628 can be written as follows:


	√	2628

The √ symbol is called the radical sign. To simplify the square root of 2628 means to get the simplest radical form of √2628.

Step 1: List Factors
List the factors of 2628 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628

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

1, 4, 9, 36

Step 3: Divide
Divide 2628 by the largest perfect square you found in the previous step:

2628 / 36 = 73

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 2628 in its simplest form:


6	√	73

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Decimal Form
Square Root of 2628 in Decimal form rounded to nearest 5 decimals:

51.26402

Exponent Form
Square Root of 2628 written with Exponent instead of Radical:

2628^½ = 6 x 73^½

Simplify Square Root of 2629
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* List of Perfect Squares