Simplify Square Root of 3876

Here we will show you step-by-step how to simplify the square root of 3876. The square root of 3876 can be written as follows:


	√	3876

The √ symbol is called the radical sign. To simplify the square root of 3876 means to get the simplest radical form of √3876.

Step 1: List Factors
List the factors of 3876 like so:

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

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

1, 4

Step 3: Divide
Divide 3876 by the largest perfect square you found in the previous step:

3876 / 4 = 969

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3876 in its simplest form:


2	√	969

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Decimal Form
Square Root of 3876 in Decimal form rounded to nearest 5 decimals:

62.25753

Exponent Form
Square Root of 3876 written with Exponent instead of Radical:

3876^½ = 2 x 969^½

Simplify Square Root of 3877
The answer to Simplify Square Root of 3876 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares