I need some help please. I don't understand the math that we are doing. Please explains to me in detail how to do radical expressions and like how to simplify them and stuff. I don't get it and it would be much appreciated.

here is one of the problems. Also my computer does not show the on root sign thing.

root sign 8n^3 (to the power of three)
____

81

since you can't find the square of 8 you look inside that number to see what other numbers can be squared.

For instance, 8 is divisible by 2 and 4. You can find the square root of 4. That is the first step.

Now on n^3 you simply put it in terms that are divisible by 2. so you can break n^3 up into n^2 and n^1 because that still equals n^3.

Now all that is left is your problem: SQUARE ROOT 2X4 n^1 N^2
since you can find the square root of 4 and n^2 can be divided by two your answer would be
2N^1 SQUARE ROOT 2 n^1

hope that helps

i need to check my answers for my THA #27

I'd be happy to help you understand radical expressions! Let's start by discussing what a radical expression is. A radical expression involves the use of a radical symbol (√), which is also known as the square root symbol. In this case, you are dealing with a cube root symbol (∛), which is used to denote the cubic root of a number.

Now, let's solve the problem you provided:

∛(8n^3) / 81

To simplify this expression, we need to recognize that 8 is the same as 2^3, and n^3 means n * n * n. By using these properties, we can rewrite the expression as follows:

∛(2^3 * n * n * n) / 81

Now, we can simplify it further by applying the rules of exponents and radical expressions. To simplify the cube root, we need to take the cube root of each factor separately.

∛2^3 * ∛(n * n * n) / ∛81

Simplifying each term separately:

2 * n * ∛(n) / 3

Therefore, the simplified expression is:

(2n∛n) / 3

As for not being able to type the root sign, that's not a problem at all! You can still communicate radical expressions by simply using the notation I've provided above.

I hope this explanation helps you understand how to simplify radical expressions, especially when dealing with cube roots. If you have any further questions or need additional examples, feel free to ask!