Simplify Square Root of 8946

Here we will show you step-by-step how to simplify the square root of 8946. The square root of 8946 can be written as follows:


	√	8946

The √ symbol is called the radical sign. To simplify the square root of 8946 means to get the simplest radical form of √8946.

Step 1: List Factors
List the factors of 8946 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946

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

1, 9

Step 3: Divide
Divide 8946 by the largest perfect square you found in the previous step:

8946 / 9 = 994

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 8946 in its simplest form:


3	√	994

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Decimal Form
Square Root of 8946 in Decimal form rounded to nearest 5 decimals:

94.5833

Exponent Form
Square Root of 8946 written with Exponent instead of Radical:

8946^½ = 3 x 994^½

Simplify Square Root of 8947
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* List of Perfect Squares