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Home / Doubts and Solutions/CBSE/Class 10/Mathematics

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
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