Simplify Square Root of 5676

Here we will show you step-by-step how to simplify the square root of 5676. The square root of 5676 can be written as follows:


	√	5676

The √ symbol is called the radical sign. To simplify the square root of 5676 means to get the simplest radical form of √5676.

Step 1: List Factors
List the factors of 5676 like so:

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676

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

1, 4

Step 3: Divide
Divide 5676 by the largest perfect square you found in the previous step:

5676 / 4 = 1419

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 5676 in its simplest form:


2	√	1419

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Decimal Form
Square Root of 5676 in Decimal form rounded to nearest 5 decimals:

75.33923

Exponent Form
Square Root of 5676 written with Exponent instead of Radical:

5676^½ = 2 x 1419^½

Simplify Square Root of 5677
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* List of Perfect Squares