Posted by **excel** on Monday, February 17, 2014 at 11:15pm.

1a) Prove that there exist irrational numbers a and b so that a^b is rational. look at the numbers √2^√2 and (√2^√2)^√2

1b) use similar idea to prove that there exists a rational number a and an irrational number b so that a^b is irrational

1c) prove that if 2^√2is irrational then √2^√2is irrational.

Thanks for your help.

## Answer this Question

## Related Questions

- THE HOMEWORK IS DUE TODAY- HELP! HELP! PLEASE - There exist irrational numbers a...
- please help with math - There exist irrational numbers a and b so that a^b is ...
- math - There exist irrational numbers a and b so that a^b is rational. look at ...
- Algebra - Order the following numbers from least to greatest. √5, -0.1, (-...
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...
- maths - I will be thankfull to you if you help me to solve the below problem: 6...
- Math - Help with radicals please - Please show work Simplify rational 1. 4√...
- irrational numbers?! - what are rational and irrational numbers?? i know that ...
- Math help Ms. Sue please - 1. What is the simplified form of the expression? 7m^...

More Related Questions