Simplify Square Root of 9472

Here we will show you step-by-step how to simplify the square root of 9472. The square root of 9472 can be written as follows:


	√	9472

The √ symbol is called the radical sign. To simplify the square root of 9472 means to get the simplest radical form of √9472.

Step 1: List Factors
List the factors of 9472 like so:

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 9472 by the largest perfect square you found in the previous step:

9472 / 256 = 37

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9472 in its simplest form:


16	√	37

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Decimal Form
Square Root of 9472 in Decimal form rounded to nearest 5 decimals:

97.3242

Exponent Form
Square Root of 9472 written with Exponent instead of Radical:

9472^½ = 16 x 37^½

Simplify Square Root of 9473
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* List of Perfect Squares