Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

show that  is irrational.

Asked by Topperlearning User 25th July 2017, 4:54 PM
Answered by Expert
Answer:

Let = a rational number

                   

rearranging this equation 

Since 12 and  are rational number which mean  is also a rational number. But this contradicts the fact that  is an irrational because we already learnt that square roots of prime numbers are irrational. So, we conclude that  is irrational.

Answered by Expert 25th July 2017, 6:54 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Latest Questions

Chat with us on WhatsApp