Simplify Square Root of 3816

Here we will show you step-by-step how to simplify the square root of 3816. The square root of 3816 can be written as follows:


	√	3816

The √ symbol is called the radical sign. To simplify the square root of 3816 means to get the simplest radical form of √3816.

Step 1: List Factors
List the factors of 3816 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816

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

1, 4, 9, 36

Step 3: Divide
Divide 3816 by the largest perfect square you found in the previous step:

3816 / 36 = 106

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3816 in its simplest form:


6	√	106

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Decimal Form
Square Root of 3816 in Decimal form rounded to nearest 5 decimals:

61.77378

Exponent Form
Square Root of 3816 written with Exponent instead of Radical:

3816^½ = 6 x 106^½

Simplify Square Root of 3817
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* List of Perfect Squares