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2014-08-16T15:27:31+03:00
1)(√2-1)/(2-1) + (√3-√2)/(3-2) + (√5-√4)/(5-4) + (√4-√3)/(4-3)=

√2 -1 + √3 -√2 +√5 -2 +2 -√3=

= -1 +√5

2)9√18/18  -9√8/8 +9√2/12 -9√8/6*8=

=3√2/2 -9√2/4 + 3√2/4 -3√2/8    aducem la acelasi numitor

= (12√2 - 18√2 + 6√2 -3√2)/8=

=(18√2 -21√2)/8=  -3√2/8
2 5 2