Simplify Square Root of 5172




Here we will show you step-by-step how to simplify the square root of 5172. The square root of 5172 can be written as follows:
     
  5172  

The √ symbol is called the radical sign. To simplify the square root of 5172 means to get the simplest radical form of √5172.

Step 1: List Factors
List the factors of 5172 like so:

1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

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

1, 4

Step 3: Divide
Divide 5172 by the largest perfect square you found in the previous step:

5172 / 4 = 1293

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 5172 in its simplest form:
     
2 1293  


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Decimal Form
Square Root of 5172 in Decimal form rounded to nearest 5 decimals:

71.91662

Exponent Form
Square Root of 5172 written with Exponent instead of Radical:

5172½ = 2 x 1293½

Simplify Square Root of 5173
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* List of Perfect Squares




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