Simplify Square Root of 5706

Here we will show you step-by-step how to simplify the square root of 5706. The square root of 5706 can be written as follows:


	√	5706

The √ symbol is called the radical sign. To simplify the square root of 5706 means to get the simplest radical form of √5706.

Step 1: List Factors
List the factors of 5706 like so:

1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706

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

1, 9

Step 3: Divide
Divide 5706 by the largest perfect square you found in the previous step:

5706 / 9 = 634

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 5706 in its simplest form:


3	√	634

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Decimal Form
Square Root of 5706 in Decimal form rounded to nearest 5 decimals:

75.53807

Exponent Form
Square Root of 5706 written with Exponent instead of Radical:

5706^½ = 3 x 634^½

Simplify Square Root of 5707
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* List of Perfect Squares