Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number.
Please, i need help!!!
Man, if you toss in a √ or ∛, almost any combination of the numbers will be irrational.
√(5*8*24)
∛(5+8+24)
∛5/8+√24
and so on
My grade is in your hands Steve
You have saved my math grade steve tysm thanks to you i got 10/10 on that typing question thank you. im so glad that we have some people that actually pay attention in school :D
everyone has different answers. idk if those are right
Thank you!!
tysm Steve
what is right
just a question but have ya'll ever thought about going through and looking for all of the answers to the questions from different people and write them down to get your correct answers?
Sure, I can help you create a problem using the numbers 5, 8, and 24 where the solution will be an irrational number. Let's assume we want to use multiplication and square roots.
Here's an example problem:
Find the square root of (5 * 8 * 24).
To solve this problem, follow these steps:
Step 1: Perform the multiplication: 5 * 8 * 24 = 960.
Step 2: Take the square root of 960. (√960)
Now, let's explain why the result is an irrational number:
An irrational number is a number that cannot be expressed as a fraction (rational number) and does not terminate or repeat its decimal representation. To determine whether √960 is irrational or not, we need to find out if it can be expressed as a fraction.
If √960 were rational, it would be expressible in the form of p/q, where p and q are integers with no common factors other than 1, and q is not zero.
However, if we calculate the square root of 960, we get approximately 30.98386677, which is a non-repeating decimal. This implies that it is not possible to express √960 as a fraction, making it an irrational number.
So, the solution to the problem, √960, is an irrational number.
btw these are the answers for all of the test for the multiple choice questions
D
B
D
C
A
B
B
D
C
A
C
C
hope this helped :D