Simplify Square Root of 3920

Here we will show you step-by-step how to simplify the square root of 3920. The square root of 3920 can be written as follows:


	√	3920

The √ symbol is called the radical sign. To simplify the square root of 3920 means to get the simplest radical form of √3920.

Step 1: List Factors
List the factors of 3920 like so:

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920

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

1, 4, 16, 49, 196, 784

Step 3: Divide
Divide 3920 by the largest perfect square you found in the previous step:

3920 / 784 = 5

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

√784 = 28

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3920 in its simplest form:


28	√	5

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Decimal Form
Square Root of 3920 in Decimal form rounded to nearest 5 decimals:

62.6099

Exponent Form
Square Root of 3920 written with Exponent instead of Radical:

3920^½ = 28 x 5^½

Simplify Square Root of 3921
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* List of Perfect Squares