Simplify Square Root of 3942

Here we will show you step-by-step how to simplify the square root of 3942. The square root of 3942 can be written as follows:


	√	3942

The √ symbol is called the radical sign. To simplify the square root of 3942 means to get the simplest radical form of √3942.

Step 1: List Factors
List the factors of 3942 like so:

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942

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

1, 9

Step 3: Divide
Divide 3942 by the largest perfect square you found in the previous step:

3942 / 9 = 438

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 3942 in its simplest form:


3	√	438

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Decimal Form
Square Root of 3942 in Decimal form rounded to nearest 5 decimals:

62.78535

Exponent Form
Square Root of 3942 written with Exponent instead of Radical:

3942^½ = 3 x 438^½

Simplify Square Root of 3943
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* List of Perfect Squares