Simplify Square Root of 792

Here we will show you step-by-step how to simplify the square root of 792. The square root of 792 can be written as follows:


	√	792

The √ symbol is called the radical sign. To simplify the square root of 792 means to get the simplest radical form of √792.

Step 1: List Factors
List the factors of 792 like so:

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

1, 4, 9, 36

Step 3: Divide
Divide 792 by the largest perfect square you found in the previous step:

792 / 36 = 22

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 792 in its simplest form:


6	√	22

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Decimal Form
Square Root of 792 in Decimal form rounded to nearest 5 decimals:

28.14249

Exponent Form
Square Root of 792 written with Exponent instead of Radical:

792^½ = 6 x 22^½

Simplify Square Root of 793
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* List of Perfect Squares