Simplify Square Root of 828

Here we will show you step-by-step how to simplify the square root of 828. The square root of 828 can be written as follows:


	√	828

The √ symbol is called the radical sign. To simplify the square root of 828 means to get the simplest radical form of √828.

Step 1: List Factors
List the factors of 828 like so:

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

1, 4, 9, 36

Step 3: Divide
Divide 828 by the largest perfect square you found in the previous step:

828 / 36 = 23

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 828 in its simplest form:


6	√	23

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Decimal Form
Square Root of 828 in Decimal form rounded to nearest 5 decimals:

28.77499

Exponent Form
Square Root of 828 written with Exponent instead of Radical:

828^½ = 6 x 23^½

Simplify Square Root of 829
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* List of Perfect Squares