Simplify Square Root of 3285

Here we will show you step-by-step how to simplify the square root of 3285. The square root of 3285 can be written as follows:


	√	3285

The √ symbol is called the radical sign. To simplify the square root of 3285 means to get the simplest radical form of √3285.

Step 1: List Factors
List the factors of 3285 like so:

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285

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

1, 9

Step 3: Divide
Divide 3285 by the largest perfect square you found in the previous step:

3285 / 9 = 365

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 3285 in its simplest form:


3	√	365

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Decimal Form
Square Root of 3285 in Decimal form rounded to nearest 5 decimals:

57.31492

Exponent Form
Square Root of 3285 written with Exponent instead of Radical:

3285^½ = 3 x 365^½

Simplify Square Root of 3286
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* List of Perfect Squares