Simplify Square Root of 8181




Here we will show you step-by-step how to simplify the square root of 8181. The square root of 8181 can be written as follows:
     
  8181  

The √ symbol is called the radical sign. To simplify the square root of 8181 means to get the simplest radical form of √8181.

Step 1: List Factors
List the factors of 8181 like so:

1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181

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

1, 9, 81

Step 3: Divide
Divide 8181 by the largest perfect square you found in the previous step:

8181 / 81 = 101

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

√81 = 9

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8181 in its simplest form:
     
9 101  


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Decimal Form
Square Root of 8181 in Decimal form rounded to nearest 5 decimals:

90.44888

Exponent Form
Square Root of 8181 written with Exponent instead of Radical:

8181½ = 9 x 101½

Simplify Square Root of 8182
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* List of Perfect Squares




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