Simplify Square Root of 2380

Here we will show you step-by-step how to simplify the square root of 2380. The square root of 2380 can be written as follows:


	√	2380

The √ symbol is called the radical sign. To simplify the square root of 2380 means to get the simplest radical form of √2380.

Step 1: List Factors
List the factors of 2380 like so:

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

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

1, 4

Step 3: Divide
Divide 2380 by the largest perfect square you found in the previous step:

2380 / 4 = 595

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 2380 in its simplest form:


2	√	595

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Decimal Form
Square Root of 2380 in Decimal form rounded to nearest 5 decimals:

48.78524

Exponent Form
Square Root of 2380 written with Exponent instead of Radical:

2380^½ = 2 x 595^½

Simplify Square Root of 2381
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* List of Perfect Squares