Simplify Square Root of 189




Here we will show you step-by-step how to simplify the square root of 189. The square root of 189 can be written as follows:
     
  189  

The √ symbol is called the radical sign. To simplify the square root of 189 means to get the simplest radical form of √189.

Step 1: List Factors
List the factors of 189 like so:

1, 3, 7, 9, 21, 27, 63, 189

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

1, 9

Step 3: Divide
Divide 189 by the largest perfect square you found in the previous step:

189 / 9 = 21

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 189 in its simplest form:
     
3 21  


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Decimal Form
Square Root of 189 in Decimal form rounded to nearest 5 decimals:

13.74773

Exponent Form
Square Root of 189 written with Exponent instead of Radical:

189½ = 3 x 21½

Simplify Square Root of 190
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* List of Perfect Squares




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