Simplify Square Root of 2205

Here we will show you step-by-step how to simplify the square root of 2205. The square root of 2205 can be written as follows:


	√	2205

The √ symbol is called the radical sign. To simplify the square root of 2205 means to get the simplest radical form of √2205.

Step 1: List Factors
List the factors of 2205 like so:

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

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

1, 9, 49, 441

Step 3: Divide
Divide 2205 by the largest perfect square you found in the previous step:

2205 / 441 = 5

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2205 in its simplest form:


21	√	5

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

Decimal Form
Square Root of 2205 in Decimal form rounded to nearest 5 decimals:

46.95743

Exponent Form
Square Root of 2205 written with Exponent instead of Radical:

2205^½ = 21 x 5^½

Simplify Square Root of 2206
The answer to Simplify Square Root of 2205 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares