Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2024-05-07 10:53:02

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 903

Irrational Numbers a and b

Give an example of irrational numbers a and b such that the indicated expression is (a) rational and (b) irrational.

1. a + b

2. a•b

3. a/b

4. a - b

What exactly is this 4 part problem asking for?


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Offline

#2 2024-05-07 19:24:44

Bob
Administrator
Registered: 2010-06-20
Posts: 10,377

Re: Irrational Numbers a and b

These are easier than you think. Make a rational answer

Eg root2/root2 is rational

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

#3 2024-05-08 02:09:04

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 903

Re: Irrational Numbers a and b

Bob wrote:

These are easier than you think. Make a rational answer

Eg root2/root2 is rational

Bob

Sounds good. Thanks again. I will return later with my work. Going to a job interview now.


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Offline

#4 2024-05-08 09:50:19

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 903

Re: Irrational Numbers a and b

Bob wrote:

These are easier than you think. Make a rational answer

Eg root2/root2 is rational

Bob

I will a sample of each.

1. a + b

How about sqrt{2} + 3?

2. a•b

How about pi(9)?

3. a/b

How about e/5?

4. a - b

How about sqrt{5} - 1?

You say?


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Offline

#5 2024-05-09 05:16:41

Bob
Administrator
Registered: 2010-06-20
Posts: 10,377

Re: Irrational Numbers a and b

Both a and b are supposed to be irrational.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

#6 2024-05-09 07:50:44

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 903

Re: Irrational Numbers a and b

Bob wrote:

Both a and b are supposed to be irrational.

Bob

You are right. Let me try again.


I will a sample of each.

1. a + b

How about sqrt{2} + sqrt{3}?

2. a•b

How about pi times e.

3. a/b

How about e/pi?

4. a - b

How about sqrt{5} - sqrt3}?

You say?


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Offline

#7 2024-05-09 07:59:08

Bob
Administrator
Registered: 2010-06-20
Posts: 10,377

Re: Irrational Numbers a and b

Those will do for examples giving an irrational answer.

Now can do find examples where the answer is rational

Bob

Ps did I read in a post that I now cannot find that you have got a job.  That's great!


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

#8 2024-05-09 08:01:41

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 903

Re: Irrational Numbers a and b

Bob wrote:

Those will do for examples giving an irrational answer.

Now can do find examples where the answer is rational

Bob

Ps did I read in a post that I now cannot find that you have got a job.  That's great!

I need to work on this one some more.


The greatest truth about the Rapture is not its timing but it's reality.

Dr. David Jeremiah

Offline

Board footer

Powered by FluxBB