Simplify Square Root of 8448

Here we will show you step-by-step how to simplify the square root of 8448. The square root of 8448 can be written as follows:


	√	8448

The √ symbol is called the radical sign. To simplify the square root of 8448 means to get the simplest radical form of √8448.

Step 1: List Factors
List the factors of 8448 like so:

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448

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

1, 4, 16, 64, 256

Step 3: Divide
Divide 8448 by the largest perfect square you found in the previous step:

8448 / 256 = 33

Step 4: Calculate
Calculate the square root of the largest perfect square:

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 8448 in its simplest form:


16	√	33

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

Decimal Form
Square Root of 8448 in Decimal form rounded to nearest 5 decimals:

91.913

Exponent Form
Square Root of 8448 written with Exponent instead of Radical:

8448^½ = 16 x 33^½

Simplify Square Root of 8449
The answer to Simplify Square Root of 8448 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares