Simplify Square Root of 3978

Here we will show you step-by-step how to simplify the square root of 3978. The square root of 3978 can be written as follows:


	√	3978

The √ symbol is called the radical sign. To simplify the square root of 3978 means to get the simplest radical form of √3978.

Step 1: List Factors
List the factors of 3978 like so:

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

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

1, 9

Step 3: Divide
Divide 3978 by the largest perfect square you found in the previous step:

3978 / 9 = 442

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3978 in its simplest form:


3	√	442

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Decimal Form
Square Root of 3978 in Decimal form rounded to nearest 5 decimals:

63.07139

Exponent Form
Square Root of 3978 written with Exponent instead of Radical:

3978^½ = 3 x 442^½

Simplify Square Root of 3979
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* List of Perfect Squares