Simplify Square Root of 1384

Here we will show you step-by-step how to simplify the square root of 1384. The square root of 1384 can be written as follows:


	√	1384

The √ symbol is called the radical sign. To simplify the square root of 1384 means to get the simplest radical form of √1384.

Step 1: List Factors
List the factors of 1384 like so:

1, 2, 4, 8, 173, 346, 692, 1384

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

1, 4

Step 3: Divide
Divide 1384 by the largest perfect square you found in the previous step:

1384 / 4 = 346

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 1384 in its simplest form:


2	√	346

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Decimal Form
Square Root of 1384 in Decimal form rounded to nearest 5 decimals:

37.20215

Exponent Form
Square Root of 1384 written with Exponent instead of Radical:

1384^½ = 2 x 346^½

Simplify Square Root of 1385
The answer to Simplify Square Root of 1384 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares