Simplify Square Root of 8968

Here we will show you step-by-step how to simplify the square root of 8968. The square root of 8968 can be written as follows:


	√	8968

The √ symbol is called the radical sign. To simplify the square root of 8968 means to get the simplest radical form of √8968.

Step 1: List Factors
List the factors of 8968 like so:

1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968

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

1, 4

Step 3: Divide
Divide 8968 by the largest perfect square you found in the previous step:

8968 / 4 = 2242

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8968 in its simplest form:


2	√	2242

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Decimal Form
Square Root of 8968 in Decimal form rounded to nearest 5 decimals:

94.69952

Exponent Form
Square Root of 8968 written with Exponent instead of Radical:

8968^½ = 2 x 2242^½

Simplify Square Root of 8969
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* List of Perfect Squares