Simplify Square Root of 180

Here we will show you step-by-step how to simplify the square root of 180. The square root of 180 can be written as follows:


	√	180

The √ symbol is called the radical sign. To simplify the square root of 180 means to get the simplest radical form of √180.

Step 1: List Factors
List the factors of 180 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

1, 4, 9, 36

Step 3: Divide
Divide 180 by the largest perfect square you found in the previous step:

180 / 36 = 5

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 180 in its simplest form:


6	√	5

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Decimal Form
Square Root of 180 in Decimal form rounded to nearest 5 decimals:

13.41641

Exponent Form
Square Root of 180 written with Exponent instead of Radical:

180^½ = 6 x 5^½

Simplify Square Root of 181
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* List of Perfect Squares