Simplify Square Root of 5644

Here we will show you step-by-step how to simplify the square root of 5644. The square root of 5644 can be written as follows:


	√	5644

The √ symbol is called the radical sign. To simplify the square root of 5644 means to get the simplest radical form of √5644.

Step 1: List Factors
List the factors of 5644 like so:

1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644

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

1, 4

Step 3: Divide
Divide 5644 by the largest perfect square you found in the previous step:

5644 / 4 = 1411

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 5644 in its simplest form:


2	√	1411

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Decimal Form
Square Root of 5644 in Decimal form rounded to nearest 5 decimals:

75.12656

Exponent Form
Square Root of 5644 written with Exponent instead of Radical:

5644^½ = 2 x 1411^½

Simplify Square Root of 5645
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* List of Perfect Squares