Simplify Square Root of 8896

Here we will show you step-by-step how to simplify the square root of 8896. The square root of 8896 can be written as follows:


	√	8896

The √ symbol is called the radical sign. To simplify the square root of 8896 means to get the simplest radical form of √8896.

Step 1: List Factors
List the factors of 8896 like so:

1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896

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

1, 4, 16, 64

Step 3: Divide
Divide 8896 by the largest perfect square you found in the previous step:

8896 / 64 = 139

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8896 in its simplest form:


8	√	139

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Decimal Form
Square Root of 8896 in Decimal form rounded to nearest 5 decimals:

94.31861

Exponent Form
Square Root of 8896 written with Exponent instead of Radical:

8896^½ = 8 x 139^½

Simplify Square Root of 8897
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* List of Perfect Squares