Simplify Square Root of 3380

Here we will show you step-by-step how to simplify the square root of 3380. The square root of 3380 can be written as follows:


	√	3380

The √ symbol is called the radical sign. To simplify the square root of 3380 means to get the simplest radical form of √3380.

Step 1: List Factors
List the factors of 3380 like so:

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

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

1, 4, 169, 676

Step 3: Divide
Divide 3380 by the largest perfect square you found in the previous step:

3380 / 676 = 5

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

√676 = 26

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3380 in its simplest form:


26	√	5

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Decimal Form
Square Root of 3380 in Decimal form rounded to nearest 5 decimals:

58.13777

Exponent Form
Square Root of 3380 written with Exponent instead of Radical:

3380^½ = 26 x 5^½

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* List of Perfect Squares