Simplify Square Root of 360

Here we will show you step-by-step how to simplify the square root of 360. The square root of 360 can be written as follows:


	√	360

The √ symbol is called the radical sign. To simplify the square root of 360 means to get the simplest radical form of √360.

Step 1: List Factors
List the factors of 360 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

1, 4, 9, 36

Step 3: Divide
Divide 360 by the largest perfect square you found in the previous step:

360 / 36 = 10

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 360 in its simplest form:


6	√	10

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Decimal Form
Square Root of 360 in Decimal form rounded to nearest 5 decimals:

18.97367

Exponent Form
Square Root of 360 written with Exponent instead of Radical:

360^½ = 6 x 10^½

Simplify Square Root of 361
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* List of Perfect Squares