Simplify Square Root of 5355

Here we will show you step-by-step how to simplify the square root of 5355. The square root of 5355 can be written as follows:


	√	5355

The √ symbol is called the radical sign. To simplify the square root of 5355 means to get the simplest radical form of √5355.

Step 1: List Factors
List the factors of 5355 like so:

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355

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

1, 9

Step 3: Divide
Divide 5355 by the largest perfect square you found in the previous step:

5355 / 9 = 595

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 5355 in its simplest form:


3	√	595

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

Decimal Form
Square Root of 5355 in Decimal form rounded to nearest 5 decimals:

73.17787

Exponent Form
Square Root of 5355 written with Exponent instead of Radical:

5355^½ = 3 x 595^½

Simplify Square Root of 5356
The answer to Simplify Square Root of 5355 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares