Question

Plz answer it as soon as possible.....

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Answer 1

$N =\frac{√(√5 + 2) + √(√5 - 2)}{√(√5 + 1)} - √(3 - 2√2)$

$N + √(3 - 2√2) = \frac{√(√5 + 2) + √(√5 - 2)}{√(√5 + 1)}$

$[N + √(3 - 2√2)](√(√5 + 1) = √(√5 + 2) + √(√5 - 2)$

$[N + √(3 - 2√2)]²(√5 + 1) = (√5 + 2) + (√5 - 2) + 2[√(√5 + 2)(√5 - 2)]$

$[N + √(3 - 2√2)]²(√5 + 1) = 2√5 + 2[√(5 - 4)]$

$[N + √(3 - 2√2)]²(√5 + 1) = 2(√5 + 1)$

$[N + √(3 - 2√2)]² = 2$

$N + √(3 - 2√2) = √2$

$N = √2 - √(3 - 2√2)$