Simplify Square Root of 1800

Here we will show you step-by-step how to simplify the square root of 1800. The square root of 1800 can be written as follows:


	√	1800

The √ symbol is called the radical sign. To simplify the square root of 1800 means to get the simplest radical form of √1800.

Step 1: List Factors
List the factors of 1800 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800

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

1, 4, 9, 25, 36, 100, 225, 900

Step 3: Divide
Divide 1800 by the largest perfect square you found in the previous step:

1800 / 900 = 2

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

√900 = 30

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1800 in its simplest form:


30	√	2

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

Decimal Form
Square Root of 1800 in Decimal form rounded to nearest 5 decimals:

42.42641

Exponent Form
Square Root of 1800 written with Exponent instead of Radical:

1800^½ = 30 x 2^½

Simplify Square Root of 1801
The answer to Simplify Square Root of 1800 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares