Simplify Square Root of 2040

Here we will show you step-by-step how to simplify the square root of 2040. The square root of 2040 can be written as follows:


	√	2040

The √ symbol is called the radical sign. To simplify the square root of 2040 means to get the simplest radical form of √2040.

Step 1: List Factors
List the factors of 2040 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040

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

1, 4

Step 3: Divide
Divide 2040 by the largest perfect square you found in the previous step:

2040 / 4 = 510

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2040 in its simplest form:


2	√	510

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

Decimal Form
Square Root of 2040 in Decimal form rounded to nearest 5 decimals:

45.16636

Exponent Form
Square Root of 2040 written with Exponent instead of Radical:

2040^½ = 2 x 510^½

Simplify Square Root of 2041
The answer to Simplify Square Root of 2040 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares