Simplify Square Root of 7920

Here we will show you step-by-step how to simplify the square root of 7920. The square root of 7920 can be written as follows:


	√	7920

The √ symbol is called the radical sign. To simplify the square root of 7920 means to get the simplest radical form of √7920.

Step 1: List Factors
List the factors of 7920 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 7920 by the largest perfect square you found in the previous step:

7920 / 144 = 55

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7920 in its simplest form:


12	√	55

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Decimal Form
Square Root of 7920 in Decimal form rounded to nearest 5 decimals:

88.99438

Exponent Form
Square Root of 7920 written with Exponent instead of Radical:

7920^½ = 12 x 55^½

Simplify Square Root of 7921
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* List of Perfect Squares