Simplify Square Root of 3780

Here we will show you step-by-step how to simplify the square root of 3780. The square root of 3780 can be written as follows:


	√	3780

The √ symbol is called the radical sign. To simplify the square root of 3780 means to get the simplest radical form of √3780.

Step 1: List Factors
List the factors of 3780 like so:

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780

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

1, 4, 9, 36

Step 3: Divide
Divide 3780 by the largest perfect square you found in the previous step:

3780 / 36 = 105

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3780 in its simplest form:


6	√	105

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

Decimal Form
Square Root of 3780 in Decimal form rounded to nearest 5 decimals:

61.4817

Exponent Form
Square Root of 3780 written with Exponent instead of Radical:

3780^½ = 6 x 105^½

Simplify Square Root of 3781
The answer to Simplify Square Root of 3780 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares