Simplify Square Root of 5608




Here we will show you step-by-step how to simplify the square root of 5608. The square root of 5608 can be written as follows:
     
  5608  

The √ symbol is called the radical sign. To simplify the square root of 5608 means to get the simplest radical form of √5608.

Step 1: List Factors
List the factors of 5608 like so:

1, 2, 4, 8, 701, 1402, 2804, 5608

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

1, 4

Step 3: Divide
Divide 5608 by the largest perfect square you found in the previous step:

5608 / 4 = 1402

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 5608 in its simplest form:
     
2 1402  


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Decimal Form
Square Root of 5608 in Decimal form rounded to nearest 5 decimals:

74.88658

Exponent Form
Square Root of 5608 written with Exponent instead of Radical:

5608½ = 2 x 1402½

Simplify Square Root of 5609
The answer to Simplify Square Root of 5608 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares




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