Simplify Square Root of 2568

Here we will show you step-by-step how to simplify the square root of 2568. The square root of 2568 can be written as follows:


	√	2568

The √ symbol is called the radical sign. To simplify the square root of 2568 means to get the simplest radical form of √2568.

Step 1: List Factors
List the factors of 2568 like so:

1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568

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

1, 4

Step 3: Divide
Divide 2568 by the largest perfect square you found in the previous step:

2568 / 4 = 642

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 2568 in its simplest form:


2	√	642

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Decimal Form
Square Root of 2568 in Decimal form rounded to nearest 5 decimals:

50.67544

Exponent Form
Square Root of 2568 written with Exponent instead of Radical:

2568^½ = 2 x 642^½

Simplify Square Root of 2569
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* List of Perfect Squares