Simplify Square Root of 9360

Here we will show you step-by-step how to simplify the square root of 9360. The square root of 9360 can be written as follows:


	√	9360

The √ symbol is called the radical sign. To simplify the square root of 9360 means to get the simplest radical form of √9360.

Step 1: List Factors
List the factors of 9360 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360

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 9360 by the largest perfect square you found in the previous step:

9360 / 144 = 65

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 9360 in its simplest form:


12	√	65

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Decimal Form
Square Root of 9360 in Decimal form rounded to nearest 5 decimals:

96.74709

Exponent Form
Square Root of 9360 written with Exponent instead of Radical:

9360^½ = 12 x 65^½

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* List of Perfect Squares