Simplify Square Root of 9456

Here we will show you step-by-step how to simplify the square root of 9456. The square root of 9456 can be written as follows:


	√	9456

The √ symbol is called the radical sign. To simplify the square root of 9456 means to get the simplest radical form of √9456.

Step 1: List Factors
List the factors of 9456 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456

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

1, 4, 16

Step 3: Divide
Divide 9456 by the largest perfect square you found in the previous step:

9456 / 16 = 591

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 9456 in its simplest form:


4	√	591

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Decimal Form
Square Root of 9456 in Decimal form rounded to nearest 5 decimals:

97.24197

Exponent Form
Square Root of 9456 written with Exponent instead of Radical:

9456^½ = 4 x 591^½

Simplify Square Root of 9457
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* List of Perfect Squares