Simplify Square Root of 2384

Here we will show you step-by-step how to simplify the square root of 2384. The square root of 2384 can be written as follows:


	√	2384

The √ symbol is called the radical sign. To simplify the square root of 2384 means to get the simplest radical form of √2384.

Step 1: List Factors
List the factors of 2384 like so:

1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384

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

1, 4, 16

Step 3: Divide
Divide 2384 by the largest perfect square you found in the previous step:

2384 / 16 = 149

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2384 in its simplest form:


4	√	149

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Decimal Form
Square Root of 2384 in Decimal form rounded to nearest 5 decimals:

48.82622

Exponent Form
Square Root of 2384 written with Exponent instead of Radical:

2384^½ = 4 x 149^½

Simplify Square Root of 2385
The answer to Simplify Square Root of 2384 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares