Simplify Square Root of 9724




Here we will show you step-by-step how to simplify the square root of 9724. The square root of 9724 can be written as follows:
     
  9724  

The √ symbol is called the radical sign. To simplify the square root of 9724 means to get the simplest radical form of √9724.

Step 1: List Factors
List the factors of 9724 like so:

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724

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

1, 4

Step 3: Divide
Divide 9724 by the largest perfect square you found in the previous step:

9724 / 4 = 2431

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 9724 in its simplest form:
     
2 2431  


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Decimal Form
Square Root of 9724 in Decimal form rounded to nearest 5 decimals:

98.61034

Exponent Form
Square Root of 9724 written with Exponent instead of Radical:

9724½ = 2 x 2431½

Simplify Square Root of 9725
The answer to Simplify Square Root of 9724 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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