Simplify Square Root of 3388

Here we will show you step-by-step how to simplify the square root of 3388. The square root of 3388 can be written as follows:


	√	3388

The √ symbol is called the radical sign. To simplify the square root of 3388 means to get the simplest radical form of √3388.

Step 1: List Factors
List the factors of 3388 like so:

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388

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

1, 4, 121, 484

Step 3: Divide
Divide 3388 by the largest perfect square you found in the previous step:

3388 / 484 = 7

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3388 in its simplest form:


22	√	7

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Decimal Form
Square Root of 3388 in Decimal form rounded to nearest 5 decimals:

58.20653

Exponent Form
Square Root of 3388 written with Exponent instead of Radical:

3388^½ = 22 x 7^½

Simplify Square Root of 3389
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* List of Perfect Squares