Simplify Square Root of 8384

Here we will show you step-by-step how to simplify the square root of 8384. The square root of 8384 can be written as follows:


	√	8384

The √ symbol is called the radical sign. To simplify the square root of 8384 means to get the simplest radical form of √8384.

Step 1: List Factors
List the factors of 8384 like so:

1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

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

1, 4, 16, 64

Step 3: Divide
Divide 8384 by the largest perfect square you found in the previous step:

8384 / 64 = 131

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8384 in its simplest form:


8	√	131

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Decimal Form
Square Root of 8384 in Decimal form rounded to nearest 5 decimals:

91.56419

Exponent Form
Square Root of 8384 written with Exponent instead of Radical:

8384^½ = 8 x 131^½

Simplify Square Root of 8385
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* List of Perfect Squares