Simplify Square Root of 7980

Here we will show you step-by-step how to simplify the square root of 7980. The square root of 7980 can be written as follows:


	√	7980

The √ symbol is called the radical sign. To simplify the square root of 7980 means to get the simplest radical form of √7980.

Step 1: List Factors
List the factors of 7980 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980

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

1, 4

Step 3: Divide
Divide 7980 by the largest perfect square you found in the previous step:

7980 / 4 = 1995

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7980 in its simplest form:


2	√	1995

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Decimal Form
Square Root of 7980 in Decimal form rounded to nearest 5 decimals:

89.33085

Exponent Form
Square Root of 7980 written with Exponent instead of Radical:

7980^½ = 2 x 1995^½

Simplify Square Root of 7981
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* List of Perfect Squares