Simplify Square Root of 384

Here we will show you step-by-step how to simplify the square root of 384. The square root of 384 can be written as follows:


	√	384

The √ symbol is called the radical sign. To simplify the square root of 384 means to get the simplest radical form of √384.

Step 1: List Factors
List the factors of 384 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

1, 4, 16, 64

Step 3: Divide
Divide 384 by the largest perfect square you found in the previous step:

384 / 64 = 6

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 384 in its simplest form:


8	√	6

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Decimal Form
Square Root of 384 in Decimal form rounded to nearest 5 decimals:

19.59592

Exponent Form
Square Root of 384 written with Exponent instead of Radical:

384^½ = 8 x 6^½

Simplify Square Root of 385
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* List of Perfect Squares