Simplify Square Root of 492




Here we will show you step-by-step how to simplify the square root of 492. The square root of 492 can be written as follows:
     
  492  

The √ symbol is called the radical sign. To simplify the square root of 492 means to get the simplest radical form of √492.

Step 1: List Factors
List the factors of 492 like so:

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

1, 4

Step 3: Divide
Divide 492 by the largest perfect square you found in the previous step:

492 / 4 = 123

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 492 in its simplest form:
     
2 123  


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Decimal Form
Square Root of 492 in Decimal form rounded to nearest 5 decimals:

22.18107

Exponent Form
Square Root of 492 written with Exponent instead of Radical:

492½ = 2 x 123½

Simplify Square Root of 493
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* List of Perfect Squares




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