Simplify Square Root of 2792

Here we will show you step-by-step how to simplify the square root of 2792. The square root of 2792 can be written as follows:


	√	2792

The √ symbol is called the radical sign. To simplify the square root of 2792 means to get the simplest radical form of √2792.

Step 1: List Factors
List the factors of 2792 like so:

1, 2, 4, 8, 349, 698, 1396, 2792

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

1, 4

Step 3: Divide
Divide 2792 by the largest perfect square you found in the previous step:

2792 / 4 = 698

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 2792 in its simplest form:


2	√	698

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Decimal Form
Square Root of 2792 in Decimal form rounded to nearest 5 decimals:

52.83938

Exponent Form
Square Root of 2792 written with Exponent instead of Radical:

2792^½ = 2 x 698^½

Simplify Square Root of 2793
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* List of Perfect Squares