Simplify Square Root of 9120

Here we will show you step-by-step how to simplify the square root of 9120. The square root of 9120 can be written as follows:


	√	9120

The √ symbol is called the radical sign. To simplify the square root of 9120 means to get the simplest radical form of √9120.

Step 1: List Factors
List the factors of 9120 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120

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

1, 4, 16

Step 3: Divide
Divide 9120 by the largest perfect square you found in the previous step:

9120 / 16 = 570

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 9120 in its simplest form:


4	√	570

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Decimal Form
Square Root of 9120 in Decimal form rounded to nearest 5 decimals:

95.49869

Exponent Form
Square Root of 9120 written with Exponent instead of Radical:

9120^½ = 4 x 570^½

Simplify Square Root of 9121
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* List of Perfect Squares