Simplify Square Root of 387




Here we will show you step-by-step how to simplify the square root of 387. The square root of 387 can be written as follows:
     
  387  

The √ symbol is called the radical sign. To simplify the square root of 387 means to get the simplest radical form of √387.

Step 1: List Factors
List the factors of 387 like so:

1, 3, 9, 43, 129, 387

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

1, 9

Step 3: Divide
Divide 387 by the largest perfect square you found in the previous step:

387 / 9 = 43

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 387 in its simplest form:
     
3 43  


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Decimal Form
Square Root of 387 in Decimal form rounded to nearest 5 decimals:

19.67232

Exponent Form
Square Root of 387 written with Exponent instead of Radical:

387½ = 3 x 43½

Simplify Square Root of 388
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* List of Perfect Squares




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