Simplify Square Root of 9296

Here we will show you step-by-step how to simplify the square root of 9296. The square root of 9296 can be written as follows:


	√	9296

The √ symbol is called the radical sign. To simplify the square root of 9296 means to get the simplest radical form of √9296.

Step 1: List Factors
List the factors of 9296 like so:

1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296

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

1, 4, 16

Step 3: Divide
Divide 9296 by the largest perfect square you found in the previous step:

9296 / 16 = 581

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9296 in its simplest form:


4	√	581

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Decimal Form
Square Root of 9296 in Decimal form rounded to nearest 5 decimals:

96.41577

Exponent Form
Square Root of 9296 written with Exponent instead of Radical:

9296^½ = 4 x 581^½

Simplify Square Root of 9297
The answer to Simplify Square Root of 9296 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares