Simplify Square Root of 9072

Here we will show you step-by-step how to simplify the square root of 9072. The square root of 9072 can be written as follows:


	√	9072

The √ symbol is called the radical sign. To simplify the square root of 9072 means to get the simplest radical form of √9072.

Step 1: List Factors
List the factors of 9072 like so:

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072

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

1, 4, 9, 16, 36, 81, 144, 324, 1296

Step 3: Divide
Divide 9072 by the largest perfect square you found in the previous step:

9072 / 1296 = 7

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

√1296 = 36

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9072 in its simplest form:


36	√	7

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Decimal Form
Square Root of 9072 in Decimal form rounded to nearest 5 decimals:

95.24705

Exponent Form
Square Root of 9072 written with Exponent instead of Radical:

9072^½ = 36 x 7^½

Simplify Square Root of 9073
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* List of Perfect Squares