Simplify Square Root of 5679

Here we will show you step-by-step how to simplify the square root of 5679. The square root of 5679 can be written as follows:


	√	5679

The √ symbol is called the radical sign. To simplify the square root of 5679 means to get the simplest radical form of √5679.

Step 1: List Factors
List the factors of 5679 like so:

1, 3, 9, 631, 1893, 5679

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

1, 9

Step 3: Divide
Divide 5679 by the largest perfect square you found in the previous step:

5679 / 9 = 631

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5679 in its simplest form:


3	√	631

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Decimal Form
Square Root of 5679 in Decimal form rounded to nearest 5 decimals:

75.35914

Exponent Form
Square Root of 5679 written with Exponent instead of Radical:

5679^½ = 3 x 631^½

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* List of Perfect Squares