Simplify Square Root of 272

Here we will show you step-by-step how to simplify the square root of 272. The square root of 272 can be written as follows:


	√	272

The √ symbol is called the radical sign. To simplify the square root of 272 means to get the simplest radical form of √272.

Step 1: List Factors
List the factors of 272 like so:

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

1, 4, 16

Step 3: Divide
Divide 272 by the largest perfect square you found in the previous step:

272 / 16 = 17

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 272 in its simplest form:


4	√	17

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

Decimal Form
Square Root of 272 in Decimal form rounded to nearest 5 decimals:

16.49242

Exponent Form
Square Root of 272 written with Exponent instead of Radical:

272^½ = 4 x 17^½

Simplify Square Root of 273
The answer to Simplify Square Root of 272 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares