Simplify Square Root of 3822

Here we will show you step-by-step how to simplify the square root of 3822. The square root of 3822 can be written as follows:


	√	3822

The √ symbol is called the radical sign. To simplify the square root of 3822 means to get the simplest radical form of √3822.

Step 1: List Factors
List the factors of 3822 like so:

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822

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

1, 49

Step 3: Divide
Divide 3822 by the largest perfect square you found in the previous step:

3822 / 49 = 78

Step 4: Calculate
Calculate the square root of the largest perfect square:

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3822 in its simplest form:


7	√	78

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Decimal Form
Square Root of 3822 in Decimal form rounded to nearest 5 decimals:

61.82233

Exponent Form
Square Root of 3822 written with Exponent instead of Radical:

3822^½ = 7 x 78^½

Simplify Square Root of 3823
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* List of Perfect Squares