Simplify Square Root of 780

Here we will show you step-by-step how to simplify the square root of 780. The square root of 780 can be written as follows:


	√	780

The √ symbol is called the radical sign. To simplify the square root of 780 means to get the simplest radical form of √780.

Step 1: List Factors
List the factors of 780 like so:

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

1, 4

Step 3: Divide
Divide 780 by the largest perfect square you found in the previous step:

780 / 4 = 195

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 780 in its simplest form:


2	√	195

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

Decimal Form
Square Root of 780 in Decimal form rounded to nearest 5 decimals:

27.92848

Exponent Form
Square Root of 780 written with Exponent instead of Radical:

780^½ = 2 x 195^½

Simplify Square Root of 781
The answer to Simplify Square Root of 780 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares