Simplify Square Root of 3888

Here we will show you step-by-step how to simplify the square root of 3888. The square root of 3888 can be written as follows:


	√	3888

The √ symbol is called the radical sign. To simplify the square root of 3888 means to get the simplest radical form of √3888.

Step 1: List Factors
List the factors of 3888 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888

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

1, 4, 9, 16, 36, 81, 144, 324, 1296

Step 3: Divide
Divide 3888 by the largest perfect square you found in the previous step:

3888 / 1296 = 3

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

√1296 = 36

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3888 in its simplest form:


36	√	3

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 3888 in Decimal form rounded to nearest 5 decimals:

62.35383

Exponent Form
Square Root of 3888 written with Exponent instead of Radical:

3888^½ = 36 x 3^½

Simplify Square Root of 3889
The answer to Simplify Square Root of 3888 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares