Simplify Square Root of 8967

Here we will show you step-by-step how to simplify the square root of 8967. The square root of 8967 can be written as follows:


	√	8967

The √ symbol is called the radical sign. To simplify the square root of 8967 means to get the simplest radical form of √8967.

Step 1: List Factors
List the factors of 8967 like so:

1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967

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

1, 49

Step 3: Divide
Divide 8967 by the largest perfect square you found in the previous step:

8967 / 49 = 183

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8967 in its simplest form:


7	√	183

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Decimal Form
Square Root of 8967 in Decimal form rounded to nearest 5 decimals:

94.69424

Exponent Form
Square Root of 8967 written with Exponent instead of Radical:

8967^½ = 7 x 183^½

Simplify Square Root of 8968
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* List of Perfect Squares