Simplify Square Root of 7680

Here we will show you step-by-step how to simplify the square root of 7680. The square root of 7680 can be written as follows:


	√	7680

The √ symbol is called the radical sign. To simplify the square root of 7680 means to get the simplest radical form of √7680.

Step 1: List Factors
List the factors of 7680 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, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 7680 by the largest perfect square you found in the previous step:

7680 / 256 = 30

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 7680 in its simplest form:


16	√	30

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

Decimal Form
Square Root of 7680 in Decimal form rounded to nearest 5 decimals:

87.63561

Exponent Form
Square Root of 7680 written with Exponent instead of Radical:

7680^½ = 16 x 30^½

Simplify Square Root of 7681
The answer to Simplify Square Root of 7680 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares