Simplify Square Root of 4185

Here we will show you step-by-step how to simplify the square root of 4185. The square root of 4185 can be written as follows:


	√	4185

The √ symbol is called the radical sign. To simplify the square root of 4185 means to get the simplest radical form of √4185.

Step 1: List Factors
List the factors of 4185 like so:

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185

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

1, 9

Step 3: Divide
Divide 4185 by the largest perfect square you found in the previous step:

4185 / 9 = 465

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 4185 in its simplest form:


3	√	465

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Decimal Form
Square Root of 4185 in Decimal form rounded to nearest 5 decimals:

64.69158

Exponent Form
Square Root of 4185 written with Exponent instead of Radical:

4185^½ = 3 x 465^½

Simplify Square Root of 4186
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* List of Perfect Squares