Simplify Square Root of 7360

Here we will show you step-by-step how to simplify the square root of 7360. The square root of 7360 can be written as follows:


	√	7360

The √ symbol is called the radical sign. To simplify the square root of 7360 means to get the simplest radical form of √7360.

Step 1: List Factors
List the factors of 7360 like so:

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360

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

1, 4, 16, 64

Step 3: Divide
Divide 7360 by the largest perfect square you found in the previous step:

7360 / 64 = 115

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 7360 in its simplest form:


8	√	115

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

Decimal Form
Square Root of 7360 in Decimal form rounded to nearest 5 decimals:

85.79044

Exponent Form
Square Root of 7360 written with Exponent instead of Radical:

7360^½ = 8 x 115^½

Simplify Square Root of 7361
The answer to Simplify Square Root of 7360 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares