Simplify Square Root of 960

Here we will show you step-by-step how to simplify the square root of 960. The square root of 960 can be written as follows:


	√	960

The √ symbol is called the radical sign. To simplify the square root of 960 means to get the simplest radical form of √960.

Step 1: List Factors
List the factors of 960 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

1, 4, 16, 64

Step 3: Divide
Divide 960 by the largest perfect square you found in the previous step:

960 / 64 = 15

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 960 in its simplest form:


8	√	15

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Decimal Form
Square Root of 960 in Decimal form rounded to nearest 5 decimals:

30.98387

Exponent Form
Square Root of 960 written with Exponent instead of Radical:

960^½ = 8 x 15^½

Simplify Square Root of 961
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* List of Perfect Squares