Simplify Square Root of 5656

Here we will show you step-by-step how to simplify the square root of 5656. The square root of 5656 can be written as follows:


	√	5656

The √ symbol is called the radical sign. To simplify the square root of 5656 means to get the simplest radical form of √5656.

Step 1: List Factors
List the factors of 5656 like so:

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

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

1, 4

Step 3: Divide
Divide 5656 by the largest perfect square you found in the previous step:

5656 / 4 = 1414

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 5656 in its simplest form:


2	√	1414

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Decimal Form
Square Root of 5656 in Decimal form rounded to nearest 5 decimals:

75.20638

Exponent Form
Square Root of 5656 written with Exponent instead of Radical:

5656^½ = 2 x 1414^½

Simplify Square Root of 5657
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* List of Perfect Squares