Simplify Square Root of 8085

Here we will show you step-by-step how to simplify the square root of 8085. The square root of 8085 can be written as follows:


	√	8085

The √ symbol is called the radical sign. To simplify the square root of 8085 means to get the simplest radical form of √8085.

Step 1: List Factors
List the factors of 8085 like so:

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085

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

1, 49

Step 3: Divide
Divide 8085 by the largest perfect square you found in the previous step:

8085 / 49 = 165

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 8085 in its simplest form:


7	√	165

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Decimal Form
Square Root of 8085 in Decimal form rounded to nearest 5 decimals:

89.91663

Exponent Form
Square Root of 8085 written with Exponent instead of Radical:

8085^½ = 7 x 165^½

Simplify Square Root of 8086
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* List of Perfect Squares