Simplify Square Root of 9424

Here we will show you step-by-step how to simplify the square root of 9424. The square root of 9424 can be written as follows:


	√	9424

The √ symbol is called the radical sign. To simplify the square root of 9424 means to get the simplest radical form of √9424.

Step 1: List Factors
List the factors of 9424 like so:

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424

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

1, 4, 16

Step 3: Divide
Divide 9424 by the largest perfect square you found in the previous step:

9424 / 16 = 589

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 9424 in its simplest form:


4	√	589

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Decimal Form
Square Root of 9424 in Decimal form rounded to nearest 5 decimals:

97.07729

Exponent Form
Square Root of 9424 written with Exponent instead of Radical:

9424^½ = 4 x 589^½

Simplify Square Root of 9425
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* List of Perfect Squares