Simplify Square Root of 3564

Here we will show you step-by-step how to simplify the square root of 3564. The square root of 3564 can be written as follows:


	√	3564

The √ symbol is called the radical sign. To simplify the square root of 3564 means to get the simplest radical form of √3564.

Step 1: List Factors
List the factors of 3564 like so:

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564

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

1, 4, 9, 36, 81, 324

Step 3: Divide
Divide 3564 by the largest perfect square you found in the previous step:

3564 / 324 = 11

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

√324 = 18

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3564 in its simplest form:


18	√	11

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

Decimal Form
Square Root of 3564 in Decimal form rounded to nearest 5 decimals:

59.69925

Exponent Form
Square Root of 3564 written with Exponent instead of Radical:

3564^½ = 18 x 11^½

Simplify Square Root of 3565
The answer to Simplify Square Root of 3564 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares