Simplify Square Root of 748

Here we will show you step-by-step how to simplify the square root of 748. The square root of 748 can be written as follows:


	√	748

The √ symbol is called the radical sign. To simplify the square root of 748 means to get the simplest radical form of √748.

Step 1: List Factors
List the factors of 748 like so:

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

1, 4

Step 3: Divide
Divide 748 by the largest perfect square you found in the previous step:

748 / 4 = 187

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 748 in its simplest form:


2	√	187

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

Decimal Form
Square Root of 748 in Decimal form rounded to nearest 5 decimals:

27.34959

Exponent Form
Square Root of 748 written with Exponent instead of Radical:

748^½ = 2 x 187^½

Simplify Square Root of 749
The answer to Simplify Square Root of 748 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares