Simplify Square Root of 2768

Here we will show you step-by-step how to simplify the square root of 2768. The square root of 2768 can be written as follows:


	√	2768

The √ symbol is called the radical sign. To simplify the square root of 2768 means to get the simplest radical form of √2768.

Step 1: List Factors
List the factors of 2768 like so:

1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768

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

1, 4, 16

Step 3: Divide
Divide 2768 by the largest perfect square you found in the previous step:

2768 / 16 = 173

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2768 in its simplest form:


4	√	173

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Decimal Form
Square Root of 2768 in Decimal form rounded to nearest 5 decimals:

52.61179

Exponent Form
Square Root of 2768 written with Exponent instead of Radical:

2768^½ = 4 x 173^½

Simplify Square Root of 2769
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* List of Perfect Squares