Simplify Square Root of 7128

Here we will show you step-by-step how to simplify the square root of 7128. The square root of 7128 can be written as follows:


	√	7128

The √ symbol is called the radical sign. To simplify the square root of 7128 means to get the simplest radical form of √7128.

Step 1: List Factors
List the factors of 7128 like so:

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 7128 by the largest perfect square you found in the previous step:

7128 / 324 = 22

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7128 in its simplest form:


18	√	22

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Decimal Form
Square Root of 7128 in Decimal form rounded to nearest 5 decimals:

84.42748

Exponent Form
Square Root of 7128 written with Exponent instead of Radical:

7128^½ = 18 x 22^½

Simplify Square Root of 7129
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* List of Perfect Squares