top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

If x1 and x2 are irrational numbers, can x1^x2 be a rational?

+1 vote
233 views
If x1 and x2 are irrational numbers, can x1^x2 be a rational?
posted Jan 16, 2018 by Salil Agrawal

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer (Check Answer ▼)





Similar Puzzles
0 votes

Write 0 and then concatenate the prime numbers in increasing sequence i.e. 0.2357111317192329...
Is this number rational or irrational?

Note: Give your reasoning also...

+1 vote

3 rational numbers form a geometric progression in its current order.

  1. If 8 is added to the middle number, then this new sequence forms an arithmetic progression.
  2. If 64 is later added to the last number, then this yet another sequence forms a geometric progression again.
  3. First number of these sequences is an integer.

Find the numbers?

0 votes

If A, B, and C are rational numbers, solve for the value of A + B + C.
enter image description here

0 votes

Working from left to right, calculate the numbers in the order shown (without using order of operation).

Replace each question mark with a mathematical sign. Plus, minus, multiply and divide can each be used once only.

What are the highest and lowest numbers that can possibly be scored?

9 ? 3 ? 4 ? 7 ? 5 =

...