Simplify Square Root of 308

Here we will show you step-by-step how to simplify the square root of 308. The square root of 308 can be written as follows:


	√	308

The √ symbol is called the radical sign. To simplify the square root of 308 means to get the simplest radical form of √308.

Step 1: List Factors
List the factors of 308 like so:

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

1, 4

Step 3: Divide
Divide 308 by the largest perfect square you found in the previous step:

308 / 4 = 77

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 308 in its simplest form:


2	√	77

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

Decimal Form
Square Root of 308 in Decimal form rounded to nearest 5 decimals:

17.54993

Exponent Form
Square Root of 308 written with Exponent instead of Radical:

308^½ = 2 x 77^½

Simplify Square Root of 309
The answer to Simplify Square Root of 308 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares