Simplify Square Root of 1920

Here we will show you step-by-step how to simplify the square root of 1920. The square root of 1920 can be written as follows:


	√	1920

The √ symbol is called the radical sign. To simplify the square root of 1920 means to get the simplest radical form of √1920.

Step 1: List Factors
List the factors of 1920 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, 320, 384, 480, 640, 960, 1920

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

1, 4, 16, 64

Step 3: Divide
Divide 1920 by the largest perfect square you found in the previous step:

1920 / 64 = 30

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1920 in its simplest form:


8	√	30

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Decimal Form
Square Root of 1920 in Decimal form rounded to nearest 5 decimals:

43.8178

Exponent Form
Square Root of 1920 written with Exponent instead of Radical:

1920^½ = 8 x 30^½

Simplify Square Root of 1921
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* List of Perfect Squares