Simplify Square Root of 9702

Here we will show you step-by-step how to simplify the square root of 9702. The square root of 9702 can be written as follows:


	√	9702

The √ symbol is called the radical sign. To simplify the square root of 9702 means to get the simplest radical form of √9702.

Step 1: List Factors
List the factors of 9702 like so:

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702

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

1, 9, 49, 441

Step 3: Divide
Divide 9702 by the largest perfect square you found in the previous step:

9702 / 441 = 22

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9702 in its simplest form:


21	√	22

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Decimal Form
Square Root of 9702 in Decimal form rounded to nearest 5 decimals:

98.49873

Exponent Form
Square Root of 9702 written with Exponent instead of Radical:

9702^½ = 21 x 22^½

Simplify Square Root of 9703
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* List of Perfect Squares