Simplify Square Root of 3904

Here we will show you step-by-step how to simplify the square root of 3904. The square root of 3904 can be written as follows:


	√	3904

The √ symbol is called the radical sign. To simplify the square root of 3904 means to get the simplest radical form of √3904.

Step 1: List Factors
List the factors of 3904 like so:

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

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

1, 4, 16, 64

Step 3: Divide
Divide 3904 by the largest perfect square you found in the previous step:

3904 / 64 = 61

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 3904 in its simplest form:


8	√	61

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Decimal Form
Square Root of 3904 in Decimal form rounded to nearest 5 decimals:

62.482

Exponent Form
Square Root of 3904 written with Exponent instead of Radical:

3904^½ = 8 x 61^½

Simplify Square Root of 3905
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* List of Perfect Squares