Simplify Square Root of 528

Here we will show you step-by-step how to simplify the square root of 528. The square root of 528 can be written as follows:


	√	528

The √ symbol is called the radical sign. To simplify the square root of 528 means to get the simplest radical form of √528.

Step 1: List Factors
List the factors of 528 like so:

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1, 4, 16

Step 3: Divide
Divide 528 by the largest perfect square you found in the previous step:

528 / 16 = 33

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 528 in its simplest form:


4	√	33

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

Decimal Form
Square Root of 528 in Decimal form rounded to nearest 5 decimals:

22.97825

Exponent Form
Square Root of 528 written with Exponent instead of Radical:

528^½ = 4 x 33^½

Simplify Square Root of 529
The answer to Simplify Square Root of 528 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares