Simplify Square Root of 9240

Here we will show you step-by-step how to simplify the square root of 9240. The square root of 9240 can be written as follows:


	√	9240

The √ symbol is called the radical sign. To simplify the square root of 9240 means to get the simplest radical form of √9240.

Step 1: List Factors
List the factors of 9240 like so:

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240

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

1, 4

Step 3: Divide
Divide 9240 by the largest perfect square you found in the previous step:

9240 / 4 = 2310

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9240 in its simplest form:


2	√	2310

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Decimal Form
Square Root of 9240 in Decimal form rounded to nearest 5 decimals:

96.12492

Exponent Form
Square Root of 9240 written with Exponent instead of Radical:

9240^½ = 2 x 2310^½

Simplify Square Root of 9241
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* List of Perfect Squares