Simplify Square Root of 3856

Here we will show you step-by-step how to simplify the square root of 3856. The square root of 3856 can be written as follows:


	√	3856

The √ symbol is called the radical sign. To simplify the square root of 3856 means to get the simplest radical form of √3856.

Step 1: List Factors
List the factors of 3856 like so:

1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856

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

1, 4, 16

Step 3: Divide
Divide 3856 by the largest perfect square you found in the previous step:

3856 / 16 = 241

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 3856 in its simplest form:


4	√	241

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Decimal Form
Square Root of 3856 in Decimal form rounded to nearest 5 decimals:

62.0967

Exponent Form
Square Root of 3856 written with Exponent instead of Radical:

3856^½ = 4 x 241^½

Simplify Square Root of 3857
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* List of Perfect Squares