Simplify Square Root of 7280

Here we will show you step-by-step how to simplify the square root of 7280. The square root of 7280 can be written as follows:


	√	7280

The √ symbol is called the radical sign. To simplify the square root of 7280 means to get the simplest radical form of √7280.

Step 1: List Factors
List the factors of 7280 like so:

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280

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

1, 4, 16

Step 3: Divide
Divide 7280 by the largest perfect square you found in the previous step:

7280 / 16 = 455

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 7280 in its simplest form:


4	√	455

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Decimal Form
Square Root of 7280 in Decimal form rounded to nearest 5 decimals:

85.32292

Exponent Form
Square Root of 7280 written with Exponent instead of Radical:

7280^½ = 4 x 455^½

Simplify Square Root of 7281
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* List of Perfect Squares