Simplify Square Root of 3480

Here we will show you step-by-step how to simplify the square root of 3480. The square root of 3480 can be written as follows:


	√	3480

The √ symbol is called the radical sign. To simplify the square root of 3480 means to get the simplest radical form of √3480.

Step 1: List Factors
List the factors of 3480 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480

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

1, 4

Step 3: Divide
Divide 3480 by the largest perfect square you found in the previous step:

3480 / 4 = 870

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 3480 in its simplest form:


2	√	870

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Decimal Form
Square Root of 3480 in Decimal form rounded to nearest 5 decimals:

58.99152

Exponent Form
Square Root of 3480 written with Exponent instead of Radical:

3480^½ = 2 x 870^½

Simplify Square Root of 3481
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* List of Perfect Squares