Simplify Square Root of 2028

Here we will show you step-by-step how to simplify the square root of 2028. The square root of 2028 can be written as follows:


	√	2028

The √ symbol is called the radical sign. To simplify the square root of 2028 means to get the simplest radical form of √2028.

Step 1: List Factors
List the factors of 2028 like so:

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

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

1, 4, 169, 676

Step 3: Divide
Divide 2028 by the largest perfect square you found in the previous step:

2028 / 676 = 3

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

√676 = 26

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2028 in its simplest form:


26	√	3

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Decimal Form
Square Root of 2028 in Decimal form rounded to nearest 5 decimals:

45.03332

Exponent Form
Square Root of 2028 written with Exponent instead of Radical:

2028^½ = 26 x 3^½

Simplify Square Root of 2029
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* List of Perfect Squares