Simplify Square Root of 1755

Here we will show you step-by-step how to simplify the square root of 1755. The square root of 1755 can be written as follows:


	√	1755

The √ symbol is called the radical sign. To simplify the square root of 1755 means to get the simplest radical form of √1755.

Step 1: List Factors
List the factors of 1755 like so:

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755

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

1, 9

Step 3: Divide
Divide 1755 by the largest perfect square you found in the previous step:

1755 / 9 = 195

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1755 in its simplest form:


3	√	195

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

Decimal Form
Square Root of 1755 in Decimal form rounded to nearest 5 decimals:

41.89272

Exponent Form
Square Root of 1755 written with Exponent instead of Radical:

1755^½ = 3 x 195^½

Simplify Square Root of 1756
The answer to Simplify Square Root of 1755 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares