Simplify Square Root of 9600

Here we will show you step-by-step how to simplify the square root of 9600. The square root of 9600 can be written as follows:


	√	9600

The √ symbol is called the radical sign. To simplify the square root of 9600 means to get the simplest radical form of √9600.

Step 1: List Factors
List the factors of 9600 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600

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

1, 4, 16, 25, 64, 100, 400, 1600

Step 3: Divide
Divide 9600 by the largest perfect square you found in the previous step:

9600 / 1600 = 6

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

√1600 = 40

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9600 in its simplest form:


40	√	6

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

Decimal Form
Square Root of 9600 in Decimal form rounded to nearest 5 decimals:

97.97959

Exponent Form
Square Root of 9600 written with Exponent instead of Radical:

9600^½ = 40 x 6^½

Simplify Square Root of 9601
The answer to Simplify Square Root of 9600 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares