= 5 √5 – 10 √10 – 2√2 which is irrational 12 Write a pair of irrational numbers whose product is rational Solution Let us consider two irrational numbers (2√3 – 3 √2) and (2√3 3√2) Here, the product = (2√3 – 3 √2) × (2√3 3√2) By further calculation, we get = (3√2) 2 – (2√3(2√ 3 +3√ 2) 2 = (2√ 3) 2 +2(2√ 3)(3√ 2)+(3√ 2) 2 = 12+12√ 6 +18 = 30+12√ 6 9 (3√ 5 +2)(3√ 5 -2)= (3√ 5) 2 -2 2 = 45-4 = 41 10 (4√ 5 -√ 3) 2 = (4√ 5) 2 -2(4√ 5)(√ 3)+(√ 3) 2 = 80-8√ 15 +9 = -8√ 15 10 (2√ 2 -4√ 3)(2√ 2 +4√ 3) = (2√ 2) 2 -(4√ 3 Racionalização 10/2√2 3/√5√3 √2/√31 √111/√111 7/2√5 alguém por favor responde
C Wgr De F Verlage Westermanngruppe At Dimensionen Mathematik Dim7 Materialien 03 Nichtlineareanalytischegeometrie 04 Kreistangente 03 04 Schnittwinkelkreiseab Pdf
