Simplify Square Root of 3402

Here we will show you step-by-step how to simplify the square root of 3402. The square root of 3402 can be written as follows:


	√	3402

The √ symbol is called the radical sign. To simplify the square root of 3402 means to get the simplest radical form of √3402.

Step 1: List Factors
List the factors of 3402 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402

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

1, 9, 81

Step 3: Divide
Divide 3402 by the largest perfect square you found in the previous step:

3402 / 81 = 42

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3402 in its simplest form:


9	√	42

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Decimal Form
Square Root of 3402 in Decimal form rounded to nearest 5 decimals:

58.32667

Exponent Form
Square Root of 3402 written with Exponent instead of Radical:

3402^½ = 9 x 42^½

Simplify Square Root of 3403
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* List of Perfect Squares