Simplify Square Root of 1360

Here we will show you step-by-step how to simplify the square root of 1360. The square root of 1360 can be written as follows:


	√	1360

The √ symbol is called the radical sign. To simplify the square root of 1360 means to get the simplest radical form of √1360.

Step 1: List Factors
List the factors of 1360 like so:

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, 1360

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

1, 4, 16

Step 3: Divide
Divide 1360 by the largest perfect square you found in the previous step:

1360 / 16 = 85

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 1360 in its simplest form:


4	√	85

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

Decimal Form
Square Root of 1360 in Decimal form rounded to nearest 5 decimals:

36.87818

Exponent Form
Square Root of 1360 written with Exponent instead of Radical:

1360^½ = 4 x 85^½

Simplify Square Root of 1361
The answer to Simplify Square Root of 1360 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares