Simplify Square Root of 3828




Here we will show you step-by-step how to simplify the square root of 3828. The square root of 3828 can be written as follows:
     
  3828  

The √ symbol is called the radical sign. To simplify the square root of 3828 means to get the simplest radical form of √3828.

Step 1: List Factors
List the factors of 3828 like so:

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828

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

1, 4

Step 3: Divide
Divide 3828 by the largest perfect square you found in the previous step:

3828 / 4 = 957

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 3828 in its simplest form:
     
2 957  


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Decimal Form
Square Root of 3828 in Decimal form rounded to nearest 5 decimals:

61.87083

Exponent Form
Square Root of 3828 written with Exponent instead of Radical:

3828½ = 2 x 957½

Simplify Square Root of 3829
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* List of Perfect Squares




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