Simplify Square Root of 8214

Here we will show you step-by-step how to simplify the square root of 8214. The square root of 8214 can be written as follows:


	√	8214

The √ symbol is called the radical sign. To simplify the square root of 8214 means to get the simplest radical form of √8214.

Step 1: List Factors
List the factors of 8214 like so:

1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214

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

1, 1369

Step 3: Divide
Divide 8214 by the largest perfect square you found in the previous step:

8214 / 1369 = 6

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

√1369 = 37

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8214 in its simplest form:


37	√	6

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Decimal Form
Square Root of 8214 in Decimal form rounded to nearest 5 decimals:

90.63112

Exponent Form
Square Root of 8214 written with Exponent instead of Radical:

8214^½ = 37 x 6^½

Simplify Square Root of 8215
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* List of Perfect Squares