Simplify Square Root of 5390




Here we will show you step-by-step how to simplify the square root of 5390. The square root of 5390 can be written as follows:
     
  5390  

The √ symbol is called the radical sign. To simplify the square root of 5390 means to get the simplest radical form of √5390.

Step 1: List Factors
List the factors of 5390 like so:

1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390

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

1, 49

Step 3: Divide
Divide 5390 by the largest perfect square you found in the previous step:

5390 / 49 = 110

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5390 in its simplest form:
     
7 110  


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Decimal Form
Square Root of 5390 in Decimal form rounded to nearest 5 decimals:

73.41662

Exponent Form
Square Root of 5390 written with Exponent instead of Radical:

5390½ = 7 x 110½

Simplify Square Root of 5391
The answer to Simplify Square Root of 5390 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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