Simplify Square Root of 8364

Here we will show you step-by-step how to simplify the square root of 8364. The square root of 8364 can be written as follows:


	√	8364

The √ symbol is called the radical sign. To simplify the square root of 8364 means to get the simplest radical form of √8364.

Step 1: List Factors
List the factors of 8364 like so:

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364

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

1, 4

Step 3: Divide
Divide 8364 by the largest perfect square you found in the previous step:

8364 / 4 = 2091

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 8364 in its simplest form:


2	√	2091

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Decimal Form
Square Root of 8364 in Decimal form rounded to nearest 5 decimals:

91.45491

Exponent Form
Square Root of 8364 written with Exponent instead of Radical:

8364^½ = 2 x 2091^½

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* List of Perfect Squares