Simplify Square Root of 5985

Here we will show you step-by-step how to simplify the square root of 5985. The square root of 5985 can be written as follows:


	√	5985

The √ symbol is called the radical sign. To simplify the square root of 5985 means to get the simplest radical form of √5985.

Step 1: List Factors
List the factors of 5985 like so:

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985

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

1, 9

Step 3: Divide
Divide 5985 by the largest perfect square you found in the previous step:

5985 / 9 = 665

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 5985 in its simplest form:


3	√	665

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Decimal Form
Square Root of 5985 in Decimal form rounded to nearest 5 decimals:

77.36278

Exponent Form
Square Root of 5985 written with Exponent instead of Radical:

5985^½ = 3 x 665^½

Simplify Square Root of 5986
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* List of Perfect Squares