Simplify Square Root of 5768

Here we will show you step-by-step how to simplify the square root of 5768. The square root of 5768 can be written as follows:


	√	5768

The √ symbol is called the radical sign. To simplify the square root of 5768 means to get the simplest radical form of √5768.

Step 1: List Factors
List the factors of 5768 like so:

1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768

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

1, 4

Step 3: Divide
Divide 5768 by the largest perfect square you found in the previous step:

5768 / 4 = 1442

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 5768 in its simplest form:


2	√	1442

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Decimal Form
Square Root of 5768 in Decimal form rounded to nearest 5 decimals:

75.94735

Exponent Form
Square Root of 5768 written with Exponent instead of Radical:

5768^½ = 2 x 1442^½

Simplify Square Root of 5769
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* List of Perfect Squares