
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
The answer to Simplify Square Root of 3828 is not the only problem we solved. Go here for the next problem on our list.
* List of Perfect Squares
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