Simplify Square Root of 1568

Here we will show you step-by-step how to simplify the square root of 1568. The square root of 1568 can be written as follows:


	√	1568

The √ symbol is called the radical sign. To simplify the square root of 1568 means to get the simplest radical form of √1568.

Step 1: List Factors
List the factors of 1568 like so:

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568

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

1, 4, 16, 49, 196, 784

Step 3: Divide
Divide 1568 by the largest perfect square you found in the previous step:

1568 / 784 = 2

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

√784 = 28

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1568 in its simplest form:


28	√	2

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Decimal Form
Square Root of 1568 in Decimal form rounded to nearest 5 decimals:

39.59798

Exponent Form
Square Root of 1568 written with Exponent instead of Radical:

1568^½ = 28 x 2^½

Simplify Square Root of 1569
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* List of Perfect Squares