Simplify Square Root of 5708

Here we will show you step-by-step how to simplify the square root of 5708. The square root of 5708 can be written as follows:


	√	5708

The √ symbol is called the radical sign. To simplify the square root of 5708 means to get the simplest radical form of √5708.

Step 1: List Factors
List the factors of 5708 like so:

1, 2, 4, 1427, 2854, 5708

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

1, 4

Step 3: Divide
Divide 5708 by the largest perfect square you found in the previous step:

5708 / 4 = 1427

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 5708 in its simplest form:


2	√	1427

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Decimal Form
Square Root of 5708 in Decimal form rounded to nearest 5 decimals:

75.55131

Exponent Form
Square Root of 5708 written with Exponent instead of Radical:

5708^½ = 2 x 1427^½

Simplify Square Root of 5709
The answer to Simplify Square Root of 5708 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares