Simplify Square Root of 8892

Here we will show you step-by-step how to simplify the square root of 8892. The square root of 8892 can be written as follows:


	√	8892

The √ symbol is called the radical sign. To simplify the square root of 8892 means to get the simplest radical form of √8892.

Step 1: List Factors
List the factors of 8892 like so:

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892

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

1, 4, 9, 36

Step 3: Divide
Divide 8892 by the largest perfect square you found in the previous step:

8892 / 36 = 247

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 8892 in its simplest form:


6	√	247

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Decimal Form
Square Root of 8892 in Decimal form rounded to nearest 5 decimals:

94.2974

Exponent Form
Square Root of 8892 written with Exponent instead of Radical:

8892^½ = 6 x 247^½

Simplify Square Root of 8893
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* List of Perfect Squares