Math, asked by dhirenasrani2007, 5 hours ago

If a = V2 + 1, find the value of (a + 1/a)^2

Answers

Answered by WildFoxx
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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