Simplify Square Root of 3213

Here we will show you step-by-step how to simplify the square root of 3213. The square root of 3213 can be written as follows:


	√	3213

The √ symbol is called the radical sign. To simplify the square root of 3213 means to get the simplest radical form of √3213.

Step 1: List Factors
List the factors of 3213 like so:

1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213

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

1, 9

Step 3: Divide
Divide 3213 by the largest perfect square you found in the previous step:

3213 / 9 = 357

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3213 in its simplest form:


3	√	357

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Decimal Form
Square Root of 3213 in Decimal form rounded to nearest 5 decimals:

56.68333

Exponent Form
Square Root of 3213 written with Exponent instead of Radical:

3213^½ = 3 x 357^½

Simplify Square Root of 3214
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* List of Perfect Squares