Question

Pls solve this question
the answer is 2√3 ​

Answer 1

Answer:

Given x = 3 + 2√2

⇒ x = 2 + 1 + 2√2

⇒ x = (√2)2 + 12 + 2×√2×1

⇒ x = (√2 + 1)2

∴ x = (√2 + 1)

⇒(1/x) = 1/ (√2 + 1)

Multiply and divide by (√2 − 1)

⇒(1/x) = (√2 − 1) / [(√2 + 1)(√2 − 1)]

⇒(1/x) = (√2 − 1) / [2 − 1]

∴ (1/x) = (√2 − 1)

Consider [x + (1/x)] = [(√2 + 1) + (√2 − 1)]

= 2√2

HOPE THIS WILL HELPS YOU

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