Simplify Square Root of 8084

Here we will show you step-by-step how to simplify the square root of 8084. The square root of 8084 can be written as follows:


	√	8084

The √ symbol is called the radical sign. To simplify the square root of 8084 means to get the simplest radical form of √8084.

Step 1: List Factors
List the factors of 8084 like so:

1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

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

1, 4

Step 3: Divide
Divide 8084 by the largest perfect square you found in the previous step:

8084 / 4 = 2021

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 8084 in its simplest form:


2	√	2021

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Decimal Form
Square Root of 8084 in Decimal form rounded to nearest 5 decimals:

89.91107

Exponent Form
Square Root of 8084 written with Exponent instead of Radical:

8084^½ = 2 x 2021^½

Simplify Square Root of 8085
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* List of Perfect Squares