Simplify Square Root of 4560

Here we will show you step-by-step how to simplify the square root of 4560. The square root of 4560 can be written as follows:


	√	4560

The √ symbol is called the radical sign. To simplify the square root of 4560 means to get the simplest radical form of √4560.

Step 1: List Factors
List the factors of 4560 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560

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

1, 4, 16

Step 3: Divide
Divide 4560 by the largest perfect square you found in the previous step:

4560 / 16 = 285

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4560 in its simplest form:


4	√	285

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

Decimal Form
Square Root of 4560 in Decimal form rounded to nearest 5 decimals:

67.52777

Exponent Form
Square Root of 4560 written with Exponent instead of Radical:

4560^½ = 4 x 285^½

Simplify Square Root of 4561
The answer to Simplify Square Root of 4560 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares