Simplify Square Root of 126

Here we will show you step-by-step how to simplify the square root of 126. The square root of 126 can be written as follows:


	√	126

The √ symbol is called the radical sign. To simplify the square root of 126 means to get the simplest radical form of √126.

Step 1: List Factors
List the factors of 126 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

1, 9

Step 3: Divide
Divide 126 by the largest perfect square you found in the previous step:

126 / 9 = 14

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 126 in its simplest form:


3	√	14

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

Decimal Form
Square Root of 126 in Decimal form rounded to nearest 5 decimals:

11.22497

Exponent Form
Square Root of 126 written with Exponent instead of Radical:

126^½ = 3 x 14^½

Simplify Square Root of 127
The answer to Simplify Square Root of 126 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares