hi Anika thank you for following me (◍•ᴗ•◍)❤
mark as me brainliest
Explanation:
it is possible only when n + 1 and n - 1 both are perfect squares. But they differ by 2 and any two perfect squares differ at least by 3. => n + 1 and n - 1 cannot be perfect squares. Hence there is no positive integer n for which √n-1 + √n+1 is rational
Answers & Comments
Verified answer
Answer:
hi Anika thank you for following me (◍•ᴗ•◍)❤
mark as me brainliest
Explanation:
it is possible only when n + 1 and n - 1 both are perfect squares. But they differ by 2 and any two perfect squares differ at least by 3. => n + 1 and n - 1 cannot be perfect squares. Hence there is no positive integer n for which √n-1 + √n+1 is rational