Simplify Square Root of 3864

Here we will show you step-by-step how to simplify the square root of 3864. The square root of 3864 can be written as follows:


	√	3864

The √ symbol is called the radical sign. To simplify the square root of 3864 means to get the simplest radical form of √3864.

Step 1: List Factors
List the factors of 3864 like so:

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864

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

1, 4

Step 3: Divide
Divide 3864 by the largest perfect square you found in the previous step:

3864 / 4 = 966

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 3864 in its simplest form:


2	√	966

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Decimal Form
Square Root of 3864 in Decimal form rounded to nearest 5 decimals:

62.16108

Exponent Form
Square Root of 3864 written with Exponent instead of Radical:

3864^½ = 2 x 966^½

Simplify Square Root of 3865
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* List of Perfect Squares