Simplify Square Root of 7260

Here we will show you step-by-step how to simplify the square root of 7260. The square root of 7260 can be written as follows:


	√	7260

The √ symbol is called the radical sign. To simplify the square root of 7260 means to get the simplest radical form of √7260.

Step 1: List Factors
List the factors of 7260 like so:

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260

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

1, 4, 121, 484

Step 3: Divide
Divide 7260 by the largest perfect square you found in the previous step:

7260 / 484 = 15

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

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7260 in its simplest form:


22	√	15

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Decimal Form
Square Root of 7260 in Decimal form rounded to nearest 5 decimals:

85.20563

Exponent Form
Square Root of 7260 written with Exponent instead of Radical:

7260^½ = 22 x 15^½

Simplify Square Root of 7261
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* List of Perfect Squares