Simplify Square Root of 8112

Here we will show you step-by-step how to simplify the square root of 8112. The square root of 8112 can be written as follows:


	√	8112

The √ symbol is called the radical sign. To simplify the square root of 8112 means to get the simplest radical form of √8112.

Step 1: List Factors
List the factors of 8112 like so:

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112

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

1, 4, 16, 169, 676, 2704

Step 3: Divide
Divide 8112 by the largest perfect square you found in the previous step:

8112 / 2704 = 3

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

√2704 = 52

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8112 in its simplest form:


52	√	3

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Decimal Form
Square Root of 8112 in Decimal form rounded to nearest 5 decimals:

90.06664

Exponent Form
Square Root of 8112 written with Exponent instead of Radical:

8112^½ = 52 x 3^½

Simplify Square Root of 8113
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* List of Perfect Squares