Simplify Square Root of 882

Here we will show you step-by-step how to simplify the square root of 882. The square root of 882 can be written as follows:


	√	882

The √ symbol is called the radical sign. To simplify the square root of 882 means to get the simplest radical form of √882.

Step 1: List Factors
List the factors of 882 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

1, 9, 49, 441

Step 3: Divide
Divide 882 by the largest perfect square you found in the previous step:

882 / 441 = 2

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 882 in its simplest form:


21	√	2

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Decimal Form
Square Root of 882 in Decimal form rounded to nearest 5 decimals:

29.69848

Exponent Form
Square Root of 882 written with Exponent instead of Radical:

882^½ = 21 x 2^½

Simplify Square Root of 883
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* List of Perfect Squares