Simplify Square Root of 2728

Here we will show you step-by-step how to simplify the square root of 2728. The square root of 2728 can be written as follows:


	√	2728

The √ symbol is called the radical sign. To simplify the square root of 2728 means to get the simplest radical form of √2728.

Step 1: List Factors
List the factors of 2728 like so:

1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728

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

1, 4

Step 3: Divide
Divide 2728 by the largest perfect square you found in the previous step:

2728 / 4 = 682

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 2728 in its simplest form:


2	√	682

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Decimal Form
Square Root of 2728 in Decimal form rounded to nearest 5 decimals:

52.23026

Exponent Form
Square Root of 2728 written with Exponent instead of Radical:

2728^½ = 2 x 682^½

Simplify Square Root of 2729
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* List of Perfect Squares