Simplify Square Root of 5564

Here we will show you step-by-step how to simplify the square root of 5564. The square root of 5564 can be written as follows:


	√	5564

The √ symbol is called the radical sign. To simplify the square root of 5564 means to get the simplest radical form of √5564.

Step 1: List Factors
List the factors of 5564 like so:

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

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

1, 4

Step 3: Divide
Divide 5564 by the largest perfect square you found in the previous step:

5564 / 4 = 1391

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 5564 in its simplest form:


2	√	1391

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Decimal Form
Square Root of 5564 in Decimal form rounded to nearest 5 decimals:

74.59222

Exponent Form
Square Root of 5564 written with Exponent instead of Radical:

5564^½ = 2 x 1391^½

Simplify Square Root of 5565
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* List of Perfect Squares