Simplify Square Root of 5084

Here we will show you step-by-step how to simplify the square root of 5084. The square root of 5084 can be written as follows:


	√	5084

The √ symbol is called the radical sign. To simplify the square root of 5084 means to get the simplest radical form of √5084.

Step 1: List Factors
List the factors of 5084 like so:

1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084

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

1, 4

Step 3: Divide
Divide 5084 by the largest perfect square you found in the previous step:

5084 / 4 = 1271

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 5084 in its simplest form:


2	√	1271

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Decimal Form
Square Root of 5084 in Decimal form rounded to nearest 5 decimals:

71.30217

Exponent Form
Square Root of 5084 written with Exponent instead of Radical:

5084^½ = 2 x 1271^½

Simplify Square Root of 5085
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* List of Perfect Squares