Simplify Square Root of 7137




Here we will show you step-by-step how to simplify the square root of 7137. The square root of 7137 can be written as follows:
     
  7137  

The √ symbol is called the radical sign. To simplify the square root of 7137 means to get the simplest radical form of √7137.

Step 1: List Factors
List the factors of 7137 like so:

1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137

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

1, 9

Step 3: Divide
Divide 7137 by the largest perfect square you found in the previous step:

7137 / 9 = 793

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7137 in its simplest form:
     
3 793  


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Decimal Form
Square Root of 7137 in Decimal form rounded to nearest 5 decimals:

84.48077

Exponent Form
Square Root of 7137 written with Exponent instead of Radical:

7137½ = 3 x 793½

Simplify Square Root of 7138
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* List of Perfect Squares




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