Simplify Square Root of 9708




Here we will show you step-by-step how to simplify the square root of 9708. The square root of 9708 can be written as follows:
     
  9708  

The √ symbol is called the radical sign. To simplify the square root of 9708 means to get the simplest radical form of √9708.

Step 1: List Factors
List the factors of 9708 like so:

1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708

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

1, 4

Step 3: Divide
Divide 9708 by the largest perfect square you found in the previous step:

9708 / 4 = 2427

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9708 in its simplest form:
     
2 2427  


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Decimal Form
Square Root of 9708 in Decimal form rounded to nearest 5 decimals:

98.52918

Exponent Form
Square Root of 9708 written with Exponent instead of Radical:

9708½ = 2 x 2427½

Simplify Square Root of 9709
The answer to Simplify Square Root of 9708 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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