Simplify Square Root of 1128

Here we will show you step-by-step how to simplify the square root of 1128. The square root of 1128 can be written as follows:


	√	1128

The √ symbol is called the radical sign. To simplify the square root of 1128 means to get the simplest radical form of √1128.

Step 1: List Factors
List the factors of 1128 like so:

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

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

1, 4

Step 3: Divide
Divide 1128 by the largest perfect square you found in the previous step:

1128 / 4 = 282

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 1128 in its simplest form:


2	√	282

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

Decimal Form
Square Root of 1128 in Decimal form rounded to nearest 5 decimals:

33.58571

Exponent Form
Square Root of 1128 written with Exponent instead of Radical:

1128^½ = 2 x 282^½

Simplify Square Root of 1129
The answer to Simplify Square Root of 1128 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares