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To get the solution of this first ,Let y = [{√ (√5+2) +√ (√5-2)} /√ (√5+1)]-√ (3-2√2)
Now, let x={√ (√5+2) +√ (√5-2)} /√ (√5+1)
then x^2=[√5+2+√5-2+2*√(5–4)]/(√5+1) = (2√5+2)/(√5+1) = 2
x^2= 2
so x={√ (√5+2) +√ (√5-2)} /√ (√5+1) = √2
So now question is y= x - √ (3-2√2)
i.e. y= √2 - √ (3-2√2)
now, let z= √ (3-2√2) = √ (2+1-2√2) = √[{ (√2 )²}+1-2*√2*1] = √[(√2 – 1)²] = √2 – 1
So y = √2- (√2 – 1 )
So the value of N= 1.
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