Simplify Square Root of 9504

Here we will show you step-by-step how to simplify the square root of 9504. The square root of 9504 can be written as follows:


	√	9504

The √ symbol is called the radical sign. To simplify the square root of 9504 means to get the simplest radical form of √9504.

Step 1: List Factors
List the factors of 9504 like so:

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 9504 by the largest perfect square you found in the previous step:

9504 / 144 = 66

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9504 in its simplest form:


12	√	66

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Decimal Form
Square Root of 9504 in Decimal form rounded to nearest 5 decimals:

97.48846

Exponent Form
Square Root of 9504 written with Exponent instead of Radical:

9504^½ = 12 x 66^½

Simplify Square Root of 9505
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* List of Perfect Squares