Simplify Square Root of 1980

Here we will show you step-by-step how to simplify the square root of 1980. The square root of 1980 can be written as follows:


	√	1980

The √ symbol is called the radical sign. To simplify the square root of 1980 means to get the simplest radical form of √1980.

Step 1: List Factors
List the factors of 1980 like so:

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980

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

1, 4, 9, 36

Step 3: Divide
Divide 1980 by the largest perfect square you found in the previous step:

1980 / 36 = 55

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 1980 in its simplest form:


6	√	55

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Decimal Form
Square Root of 1980 in Decimal form rounded to nearest 5 decimals:

44.49719

Exponent Form
Square Root of 1980 written with Exponent instead of Radical:

1980^½ = 6 x 55^½

Simplify Square Root of 1981
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* List of Perfect Squares