Simplify Square Root of 5766

Here we will show you step-by-step how to simplify the square root of 5766. The square root of 5766 can be written as follows:


	√	5766

The √ symbol is called the radical sign. To simplify the square root of 5766 means to get the simplest radical form of √5766.

Step 1: List Factors
List the factors of 5766 like so:

1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766

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

1, 961

Step 3: Divide
Divide 5766 by the largest perfect square you found in the previous step:

5766 / 961 = 6

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

√961 = 31

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5766 in its simplest form:


31	√	6

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 5766 in Decimal form rounded to nearest 5 decimals:

75.93418

Exponent Form
Square Root of 5766 written with Exponent instead of Radical:

5766^½ = 31 x 6^½

Simplify Square Root of 5767
The answer to Simplify Square Root of 5766 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares