Simplify Square Root of 9506

Here we will show you step-by-step how to simplify the square root of 9506. The square root of 9506 can be written as follows:


	√	9506

The √ symbol is called the radical sign. To simplify the square root of 9506 means to get the simplest radical form of √9506.

Step 1: List Factors
List the factors of 9506 like so:

1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506

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

1, 49

Step 3: Divide
Divide 9506 by the largest perfect square you found in the previous step:

9506 / 49 = 194

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9506 in its simplest form:


7	√	194

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Decimal Form
Square Root of 9506 in Decimal form rounded to nearest 5 decimals:

97.49872

Exponent Form
Square Root of 9506 written with Exponent instead of Radical:

9506^½ = 7 x 194^½

Simplify Square Root of 9507
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* List of Perfect Squares