Simplify Square Root of 9666

Here we will show you step-by-step how to simplify the square root of 9666. The square root of 9666 can be written as follows:


	√	9666

The √ symbol is called the radical sign. To simplify the square root of 9666 means to get the simplest radical form of √9666.

Step 1: List Factors
List the factors of 9666 like so:

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666

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

1, 9

Step 3: Divide
Divide 9666 by the largest perfect square you found in the previous step:

9666 / 9 = 1074

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 9666 in its simplest form:


3	√	1074

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Decimal Form
Square Root of 9666 in Decimal form rounded to nearest 5 decimals:

98.31582

Exponent Form
Square Root of 9666 written with Exponent instead of Radical:

9666^½ = 3 x 1074^½

Simplify Square Root of 9667
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* List of Perfect Squares