Simplify Square Root of 3968

Here we will show you step-by-step how to simplify the square root of 3968. The square root of 3968 can be written as follows:


	√	3968

The √ symbol is called the radical sign. To simplify the square root of 3968 means to get the simplest radical form of √3968.

Step 1: List Factors
List the factors of 3968 like so:

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968

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

1, 4, 16, 64

Step 3: Divide
Divide 3968 by the largest perfect square you found in the previous step:

3968 / 64 = 62

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 3968 in its simplest form:


8	√	62

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Decimal Form
Square Root of 3968 in Decimal form rounded to nearest 5 decimals:

62.99206

Exponent Form
Square Root of 3968 written with Exponent instead of Radical:

3968^½ = 8 x 62^½

Simplify Square Root of 3969
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* List of Perfect Squares