Simplify Square Root of 6960

Here we will show you step-by-step how to simplify the square root of 6960. The square root of 6960 can be written as follows:


	√	6960

The √ symbol is called the radical sign. To simplify the square root of 6960 means to get the simplest radical form of √6960.

Step 1: List Factors
List the factors of 6960 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960

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

1, 4, 16

Step 3: Divide
Divide 6960 by the largest perfect square you found in the previous step:

6960 / 16 = 435

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6960 in its simplest form:


4	√	435

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Decimal Form
Square Root of 6960 in Decimal form rounded to nearest 5 decimals:

83.42661

Exponent Form
Square Root of 6960 written with Exponent instead of Radical:

6960^½ = 4 x 435^½

Simplify Square Root of 6961
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* List of Perfect Squares