Simplify Square Root of 7872

Here we will show you step-by-step how to simplify the square root of 7872. The square root of 7872 can be written as follows:


	√	7872

The √ symbol is called the radical sign. To simplify the square root of 7872 means to get the simplest radical form of √7872.

Step 1: List Factors
List the factors of 7872 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872

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

1, 4, 16, 64

Step 3: Divide
Divide 7872 by the largest perfect square you found in the previous step:

7872 / 64 = 123

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7872 in its simplest form:


8	√	123

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Decimal Form
Square Root of 7872 in Decimal form rounded to nearest 5 decimals:

88.72429

Exponent Form
Square Root of 7872 written with Exponent instead of Radical:

7872^½ = 8 x 123^½

Simplify Square Root of 7873
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* List of Perfect Squares