Simplify Square Root of 2400

Here we will show you step-by-step how to simplify the square root of 2400. The square root of 2400 can be written as follows:


	√	2400

The √ symbol is called the radical sign. To simplify the square root of 2400 means to get the simplest radical form of √2400.

Step 1: List Factors
List the factors of 2400 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 2400 by the largest perfect square you found in the previous step:

2400 / 400 = 6

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2400 in its simplest form:


20	√	6

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

Decimal Form
Square Root of 2400 in Decimal form rounded to nearest 5 decimals:

48.98979

Exponent Form
Square Root of 2400 written with Exponent instead of Radical:

2400^½ = 20 x 6^½

Simplify Square Root of 2401
The answer to Simplify Square Root of 2400 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares