Simplify Square Root of 3872

Here we will show you step-by-step how to simplify the square root of 3872. The square root of 3872 can be written as follows:


	√	3872

The √ symbol is called the radical sign. To simplify the square root of 3872 means to get the simplest radical form of √3872.

Step 1: List Factors
List the factors of 3872 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872

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

1, 4, 16, 121, 484, 1936

Step 3: Divide
Divide 3872 by the largest perfect square you found in the previous step:

3872 / 1936 = 2

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

√1936 = 44

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3872 in its simplest form:


44	√	2

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Decimal Form
Square Root of 3872 in Decimal form rounded to nearest 5 decimals:

62.2254

Exponent Form
Square Root of 3872 written with Exponent instead of Radical:

3872^½ = 44 x 2^½

Simplify Square Root of 3873
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* List of Perfect Squares