Simplify Square Root of 6066

Here we will show you step-by-step how to simplify the square root of 6066. The square root of 6066 can be written as follows:


	√	6066

The √ symbol is called the radical sign. To simplify the square root of 6066 means to get the simplest radical form of √6066.

Step 1: List Factors
List the factors of 6066 like so:

1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

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

1, 9

Step 3: Divide
Divide 6066 by the largest perfect square you found in the previous step:

6066 / 9 = 674

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 6066 in its simplest form:


3	√	674

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Decimal Form
Square Root of 6066 in Decimal form rounded to nearest 5 decimals:

77.88453

Exponent Form
Square Root of 6066 written with Exponent instead of Radical:

6066^½ = 3 x 674^½

Simplify Square Root of 6067
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* List of Perfect Squares