Simplify Square Root of 8528

Here we will show you step-by-step how to simplify the square root of 8528. The square root of 8528 can be written as follows:


	√	8528

The √ symbol is called the radical sign. To simplify the square root of 8528 means to get the simplest radical form of √8528.

Step 1: List Factors
List the factors of 8528 like so:

1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528

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

1, 4, 16

Step 3: Divide
Divide 8528 by the largest perfect square you found in the previous step:

8528 / 16 = 533

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 8528 in its simplest form:


4	√	533

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

Decimal Form
Square Root of 8528 in Decimal form rounded to nearest 5 decimals:

92.34717

Exponent Form
Square Root of 8528 written with Exponent instead of Radical:

8528^½ = 4 x 533^½

Simplify Square Root of 8529
The answer to Simplify Square Root of 8528 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares