Simplify Square Root of 5082

Here we will show you step-by-step how to simplify the square root of 5082. The square root of 5082 can be written as follows:


	√	5082

The √ symbol is called the radical sign. To simplify the square root of 5082 means to get the simplest radical form of √5082.

Step 1: List Factors
List the factors of 5082 like so:

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082

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

1, 121

Step 3: Divide
Divide 5082 by the largest perfect square you found in the previous step:

5082 / 121 = 42

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5082 in its simplest form:


11	√	42

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Decimal Form
Square Root of 5082 in Decimal form rounded to nearest 5 decimals:

71.28815

Exponent Form
Square Root of 5082 written with Exponent instead of Radical:

5082^½ = 11 x 42^½

Simplify Square Root of 5083
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* List of Perfect Squares