Simplify Square Root of 8960

Here we will show you step-by-step how to simplify the square root of 8960. The square root of 8960 can be written as follows:


	√	8960

The √ symbol is called the radical sign. To simplify the square root of 8960 means to get the simplest radical form of √8960.

Step 1: List Factors
List the factors of 8960 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 8960 by the largest perfect square you found in the previous step:

8960 / 256 = 35

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8960 in its simplest form:


16	√	35

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Decimal Form
Square Root of 8960 in Decimal form rounded to nearest 5 decimals:

94.65728

Exponent Form
Square Root of 8960 written with Exponent instead of Radical:

8960^½ = 16 x 35^½

Simplify Square Root of 8961
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* List of Perfect Squares