Question

सिद्ध कीजिए कि 5 -
रूट 3 एवं रूट 5 अपरिमेय संख्या है​

Answer 1

Answer:

5√2 Let 5√2 is a rational number. 5√2 = a/b, b ≠ 0, (where a, b are co-prime numbers) or √2 = a/5b ....(i) Since, a, b are integer. So, a/5b is a rational number. It is clear that from equation (i) √2 is a rational number which is contradict statement, since we know that √2 is irrational number. So, our hypothesis is wrong. Hence, 5√2 is a irrational numberRead more on Sarthaks.com - https://www.sarthaks.com/747930/prove-that-following-numbers-are-irrational-numbers-i-52