Simplify Square Root of 5668

Here we will show you step-by-step how to simplify the square root of 5668. The square root of 5668 can be written as follows:


	√	5668

The √ symbol is called the radical sign. To simplify the square root of 5668 means to get the simplest radical form of √5668.

Step 1: List Factors
List the factors of 5668 like so:

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

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

1, 4

Step 3: Divide
Divide 5668 by the largest perfect square you found in the previous step:

5668 / 4 = 1417

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 5668 in its simplest form:


2	√	1417

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Decimal Form
Square Root of 5668 in Decimal form rounded to nearest 5 decimals:

75.28612

Exponent Form
Square Root of 5668 written with Exponent instead of Radical:

5668^½ = 2 x 1417^½

Simplify Square Root of 5669
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* List of Perfect Squares