Is √73√15 rational or irrational? Prove it.
I am having a hard time with this question. So far what I did was say, assume it's rational, then √73√15=xy⇒√7y=x3√15
I then showed the product of a rational number and an irrational number is irrational so the expression above is irrational on the left and right side. I can't get to a contradiction to prove it's irrational so I'm currently thinking it is rational but I don't know how to go about proving it.
Answer
Factoring 73y6=152x6 into primes, 7 has odd power 3+6j on LHS, but even 6k on RHS
No comments:
Post a Comment