If a = V2 + 1, find the value of (a + 1/a)^2
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2
Answer:
4
Step-by-step explanation:
Given : x = √2 + 1
= 1/a = 1/√2 + 1 × √2 - 1/√2 - 1
= √2 - 1/ (2)² - (√1)²
= √2 - 1
Now,
= a - 1/a = √2 + 1 - (√2 - 1)
= 2
Hence,
(a - 1/a)² = 4
Therefore the value of (a - 1/a)² = 4
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