Simplify Square Root of 4160

Here we will show you step-by-step how to simplify the square root of 4160. The square root of 4160 can be written as follows:


	√	4160

The √ symbol is called the radical sign. To simplify the square root of 4160 means to get the simplest radical form of √4160.

Step 1: List Factors
List the factors of 4160 like so:

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160

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

1, 4, 16, 64

Step 3: Divide
Divide 4160 by the largest perfect square you found in the previous step:

4160 / 64 = 65

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4160 in its simplest form:


8	√	65

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

Decimal Form
Square Root of 4160 in Decimal form rounded to nearest 5 decimals:

64.49806

Exponent Form
Square Root of 4160 written with Exponent instead of Radical:

4160^½ = 8 x 65^½

Simplify Square Root of 4161
The answer to Simplify Square Root of 4160 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares