Simplify Square Root of 3185

Here we will show you step-by-step how to simplify the square root of 3185. The square root of 3185 can be written as follows:


	√	3185

The √ symbol is called the radical sign. To simplify the square root of 3185 means to get the simplest radical form of √3185.

Step 1: List Factors
List the factors of 3185 like so:

1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185

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

1, 49

Step 3: Divide
Divide 3185 by the largest perfect square you found in the previous step:

3185 / 49 = 65

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3185 in its simplest form:


7	√	65

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Decimal Form
Square Root of 3185 in Decimal form rounded to nearest 5 decimals:

56.4358

Exponent Form
Square Root of 3185 written with Exponent instead of Radical:

3185^½ = 7 x 65^½

Simplify Square Root of 3186
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* List of Perfect Squares