Simplify Square Root of 4095

Here we will show you step-by-step how to simplify the square root of 4095. The square root of 4095 can be written as follows:


	√	4095

The √ symbol is called the radical sign. To simplify the square root of 4095 means to get the simplest radical form of √4095.

Step 1: List Factors
List the factors of 4095 like so:

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 4095

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

1, 9

Step 3: Divide
Divide 4095 by the largest perfect square you found in the previous step:

4095 / 9 = 455

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 4095 in its simplest form:


3	√	455

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Decimal Form
Square Root of 4095 in Decimal form rounded to nearest 5 decimals:

63.99219

Exponent Form
Square Root of 4095 written with Exponent instead of Radical:

4095^½ = 3 x 455^½

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* List of Perfect Squares