Simplify Square Root of 8208

Here we will show you step-by-step how to simplify the square root of 8208. The square root of 8208 can be written as follows:


	√	8208

The √ symbol is called the radical sign. To simplify the square root of 8208 means to get the simplest radical form of √8208.

Step 1: List Factors
List the factors of 8208 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208

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 8208 by the largest perfect square you found in the previous step:

8208 / 144 = 57

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 8208 in its simplest form:


12	√	57

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Decimal Form
Square Root of 8208 in Decimal form rounded to nearest 5 decimals:

90.59801

Exponent Form
Square Root of 8208 written with Exponent instead of Radical:

8208^½ = 12 x 57^½

Simplify Square Root of 8209
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* List of Perfect Squares