Simplify Square Root of 8874

Here we will show you step-by-step how to simplify the square root of 8874. The square root of 8874 can be written as follows:


	√	8874

The √ symbol is called the radical sign. To simplify the square root of 8874 means to get the simplest radical form of √8874.

Step 1: List Factors
List the factors of 8874 like so:

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

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

1, 9

Step 3: Divide
Divide 8874 by the largest perfect square you found in the previous step:

8874 / 9 = 986

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8874 in its simplest form:


3	√	986

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Decimal Form
Square Root of 8874 in Decimal form rounded to nearest 5 decimals:

94.20191

Exponent Form
Square Root of 8874 written with Exponent instead of Radical:

8874^½ = 3 x 986^½

Simplify Square Root of 8875
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* List of Perfect Squares