Simplify Square Root of 9639

Here we will show you step-by-step how to simplify the square root of 9639. The square root of 9639 can be written as follows:


	√	9639

The √ symbol is called the radical sign. To simplify the square root of 9639 means to get the simplest radical form of √9639.

Step 1: List Factors
List the factors of 9639 like so:

1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639

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

1, 9, 81

Step 3: Divide
Divide 9639 by the largest perfect square you found in the previous step:

9639 / 81 = 119

Step 4: Calculate
Calculate the square root of the largest perfect square:

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9639 in its simplest form:


9	√	119

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Decimal Form
Square Root of 9639 in Decimal form rounded to nearest 5 decimals:

98.17841

Exponent Form
Square Root of 9639 written with Exponent instead of Radical:

9639^½ = 9 x 119^½

Simplify Square Root of 9640
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* List of Perfect Squares