Simplify Square Root of 5566

Here we will show you step-by-step how to simplify the square root of 5566. The square root of 5566 can be written as follows:


	√	5566

The √ symbol is called the radical sign. To simplify the square root of 5566 means to get the simplest radical form of √5566.

Step 1: List Factors
List the factors of 5566 like so:

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

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

1, 121

Step 3: Divide
Divide 5566 by the largest perfect square you found in the previous step:

5566 / 121 = 46

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5566 in its simplest form:


11	√	46

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Decimal Form
Square Root of 5566 in Decimal form rounded to nearest 5 decimals:

74.60563

Exponent Form
Square Root of 5566 written with Exponent instead of Radical:

5566^½ = 11 x 46^½

Simplify Square Root of 5567
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* List of Perfect Squares