(√5-2)^2007x(√5+2)^2008 (√2+1)^2007x(√2-1)^2006

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(√5-2)^2007x(√5+2)^2008 (√2+1)^2007x(√2-1)^2006
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(√5-2)^2007x(√5+2)^2008 (√2+1)^2007x(√2-1)^2006
(√5-2)^2007x(√5+2)^2008 (√2+1)^2007x(√2-1)^2006

(√5-2)^2007x(√5+2)^2008 (√2+1)^2007x(√2-1)^2006
(√5 - 2)^2007×(√5 + 2)^2008
= (√5 - 2)^2007×(√5 + 2)^2007×(√5 + 2)
= [(√5 - 2)×(√5 + 2)]^2007×(√5 + 2)
= 1^2007×(√5 + 2)
= √5 + 2
(√2 + 1)^2007×(√2 - 1)^2006
= (√2 + 1)^2006×(√2 - 1)^2006×(√2 + 1)
= [(√2 + 1)×(√2 - 1)]^2006×(√2 + 1)
= 1^2006×(√2 + 1)
= √2 + 1

(√5-2)^2007x(√5+2)^2008=[(√5-2)x(√5+2)]^2007*(√5+2)=1*(√5+2)=(√5+2)
(√2+1)^2007x(√2-1)^2006=[(√2+1)x(√2-1)]^2006*(√2+1)=1*(√2+1)=(√2+1)