Simplify Square Root of 1280

Here we will show you step-by-step how to simplify the square root of 1280. The square root of 1280 can be written as follows:


	√	1280

The √ symbol is called the radical sign. To simplify the square root of 1280 means to get the simplest radical form of √1280.

Step 1: List Factors
List the factors of 1280 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 1280 by the largest perfect square you found in the previous step:

1280 / 256 = 5

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 1280 in its simplest form:


16	√	5

Simplify Square Root Calculator
Please enter another Square Root for us to simplify:

Decimal Form
Square Root of 1280 in Decimal form rounded to nearest 5 decimals:

35.77709

Exponent Form
Square Root of 1280 written with Exponent instead of Radical:

1280^½ = 16 x 5^½

Simplify Square Root of 1281
The answer to Simplify Square Root of 1280 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares