Simplify Square Root of 3332

Here we will show you step-by-step how to simplify the square root of 3332. The square root of 3332 can be written as follows:


	√	3332

The √ symbol is called the radical sign. To simplify the square root of 3332 means to get the simplest radical form of √3332.

Step 1: List Factors
List the factors of 3332 like so:

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332

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

1, 4, 49, 196

Step 3: Divide
Divide 3332 by the largest perfect square you found in the previous step:

3332 / 196 = 17

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3332 in its simplest form:


14	√	17

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Decimal Form
Square Root of 3332 in Decimal form rounded to nearest 5 decimals:

57.72348

Exponent Form
Square Root of 3332 written with Exponent instead of Radical:

3332^½ = 14 x 17^½

Simplify Square Root of 3333
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* List of Perfect Squares