Simplify Square Root of 3420

Here we will show you step-by-step how to simplify the square root of 3420. The square root of 3420 can be written as follows:


	√	3420

The √ symbol is called the radical sign. To simplify the square root of 3420 means to get the simplest radical form of √3420.

Step 1: List Factors
List the factors of 3420 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420

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

1, 4, 9, 36

Step 3: Divide
Divide 3420 by the largest perfect square you found in the previous step:

3420 / 36 = 95

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3420 in its simplest form:


6	√	95

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Decimal Form
Square Root of 3420 in Decimal form rounded to nearest 5 decimals:

58.48077

Exponent Form
Square Root of 3420 written with Exponent instead of Radical:

3420^½ = 6 x 95^½

Simplify Square Root of 3421
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* List of Perfect Squares