Simplify Square Root of 3948

Here we will show you step-by-step how to simplify the square root of 3948. The square root of 3948 can be written as follows:


	√	3948

The √ symbol is called the radical sign. To simplify the square root of 3948 means to get the simplest radical form of √3948.

Step 1: List Factors
List the factors of 3948 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948

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

1, 4

Step 3: Divide
Divide 3948 by the largest perfect square you found in the previous step:

3948 / 4 = 987

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 3948 in its simplest form:


2	√	987

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Decimal Form
Square Root of 3948 in Decimal form rounded to nearest 5 decimals:

62.83311

Exponent Form
Square Root of 3948 written with Exponent instead of Radical:

3948^½ = 2 x 987^½

Simplify Square Root of 3949
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* List of Perfect Squares