Simplify Square Root of 8268

Here we will show you step-by-step how to simplify the square root of 8268. The square root of 8268 can be written as follows:


	√	8268

The √ symbol is called the radical sign. To simplify the square root of 8268 means to get the simplest radical form of √8268.

Step 1: List Factors
List the factors of 8268 like so:

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268

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

1, 4

Step 3: Divide
Divide 8268 by the largest perfect square you found in the previous step:

8268 / 4 = 2067

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 8268 in its simplest form:


2	√	2067

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Decimal Form
Square Root of 8268 in Decimal form rounded to nearest 5 decimals:

90.92854

Exponent Form
Square Root of 8268 written with Exponent instead of Radical:

8268^½ = 2 x 2067^½

Simplify Square Root of 8269
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* List of Perfect Squares