Simplify Square Root of 5085

Here we will show you step-by-step how to simplify the square root of 5085. The square root of 5085 can be written as follows:


	√	5085

The √ symbol is called the radical sign. To simplify the square root of 5085 means to get the simplest radical form of √5085.

Step 1: List Factors
List the factors of 5085 like so:

1, 3, 5, 9, 15, 45, 113, 339, 565, 1017, 1695, 5085

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

1, 9

Step 3: Divide
Divide 5085 by the largest perfect square you found in the previous step:

5085 / 9 = 565

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 5085 in its simplest form:


3	√	565

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Decimal Form
Square Root of 5085 in Decimal form rounded to nearest 5 decimals:

71.30919

Exponent Form
Square Root of 5085 written with Exponent instead of Radical:

5085^½ = 3 x 565^½

Simplify Square Root of 5086
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* List of Perfect Squares