Value of 'N'?

Algebra Level 3

If N = 5 + 2 + 5 − 2 5 + 1 − 3 − 2 2 N = \frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}} then N N equals to?

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2 − 1 2 \frac{\sqrt{2}-1}{\sqrt{2}} 1 0 5 2 \frac{\sqrt{5}}{2}

Vignesh Rao by Vignesh Rao , 20, India

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1 solution

Rishabh Jain
Dec 27, 2015

√ ( √ ( √ 5 + 2 ) ) + √ ( √ 5 − 2 ) ) 2 ) = √ ( 2 ( √ 5 + 1 ) ) √ (√(√5+2))+√(√5-2) )^2 )=√( 2(√5+1) ) And √(3-2√2)= √2-1 Therefore √2-(√2-1)=1

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