Simplify Square Root of 3840

Here we will show you step-by-step how to simplify the square root of 3840. The square root of 3840 can be written as follows:


	√	3840

The √ symbol is called the radical sign. To simplify the square root of 3840 means to get the simplest radical form of √3840.

Step 1: List Factors
List the factors of 3840 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 3840 by the largest perfect square you found in the previous step:

3840 / 256 = 15

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

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3840 in its simplest form:


16	√	15

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Decimal Form
Square Root of 3840 in Decimal form rounded to nearest 5 decimals:

61.96773

Exponent Form
Square Root of 3840 written with Exponent instead of Radical:

3840^½ = 16 x 15^½

Simplify Square Root of 3841
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* List of Perfect Squares