Simplify Square Root of 3362

Here we will show you step-by-step how to simplify the square root of 3362. The square root of 3362 can be written as follows:


	√	3362

The √ symbol is called the radical sign. To simplify the square root of 3362 means to get the simplest radical form of √3362.

Step 1: List Factors
List the factors of 3362 like so:

1, 2, 41, 82, 1681, 3362

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

1, 1681

Step 3: Divide
Divide 3362 by the largest perfect square you found in the previous step:

3362 / 1681 = 2

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

√1681 = 41

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3362 in its simplest form:


41	√	2

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Decimal Form
Square Root of 3362 in Decimal form rounded to nearest 5 decimals:

57.98276

Exponent Form
Square Root of 3362 written with Exponent instead of Radical:

3362^½ = 41 x 2^½

Simplify Square Root of 3363
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* List of Perfect Squares