Simplify Square Root of 7968

Here we will show you step-by-step how to simplify the square root of 7968. The square root of 7968 can be written as follows:


	√	7968

The √ symbol is called the radical sign. To simplify the square root of 7968 means to get the simplest radical form of √7968.

Step 1: List Factors
List the factors of 7968 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968

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

1, 4, 16

Step 3: Divide
Divide 7968 by the largest perfect square you found in the previous step:

7968 / 16 = 498

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 7968 in its simplest form:


4	√	498

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Decimal Form
Square Root of 7968 in Decimal form rounded to nearest 5 decimals:

89.26365

Exponent Form
Square Root of 7968 written with Exponent instead of Radical:

7968^½ = 4 x 498^½

Simplify Square Root of 7969
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* List of Perfect Squares