Simplify Square Root of 1308




Here we will show you step-by-step how to simplify the square root of 1308. The square root of 1308 can be written as follows:
     
  1308  

The √ symbol is called the radical sign. To simplify the square root of 1308 means to get the simplest radical form of √1308.

Step 1: List Factors
List the factors of 1308 like so:

1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308

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

1, 4

Step 3: Divide
Divide 1308 by the largest perfect square you found in the previous step:

1308 / 4 = 327

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 1308 in its simplest form:
     
2 327  


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Decimal Form
Square Root of 1308 in Decimal form rounded to nearest 5 decimals:

36.16628

Exponent Form
Square Root of 1308 written with Exponent instead of Radical:

1308½ = 2 x 327½

Simplify Square Root of 1309
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* List of Perfect Squares




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