Simplify Square Root of 7380

Here we will show you step-by-step how to simplify the square root of 7380. The square root of 7380 can be written as follows:


	√	7380

The √ symbol is called the radical sign. To simplify the square root of 7380 means to get the simplest radical form of √7380.

Step 1: List Factors
List the factors of 7380 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380

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

1, 4, 9, 36

Step 3: Divide
Divide 7380 by the largest perfect square you found in the previous step:

7380 / 36 = 205

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7380 in its simplest form:


6	√	205

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Decimal Form
Square Root of 7380 in Decimal form rounded to nearest 5 decimals:

85.90693

Exponent Form
Square Root of 7380 written with Exponent instead of Radical:

7380^½ = 6 x 205^½

Simplify Square Root of 7381
The answer to Simplify Square Root of 7380 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares