CBSE Class 9 Answered
Find six rational and six irrational number between 2/3 and 5/7
Asked by Jayant1142005 | 06 Apr, 2019, 03:05: PM
Expert Answer
(2/3) = 0.666...
(5/7) ≈ 0.714
hence 6 rational numbers between (2/3) and (5/7) in decimal form : 0.67 , 0.68, 0.69, 0.7, 0.705, 0.71
or in fraction form : 67/100 , 17/25, 69/100, 7/10, 705/1000, 71/100
to get 6 irrational numbers between 2/3 and 5/7, we use the irrational numbers √2, √3, √5, √6, √7 and √8
after multiplying suitable fraction so that product of fraction and this irrational number is in between 2/3 and 5/7
hence 6 irrational numbers between 2/3 and 5/7 : √2/2 , 2√3/5, 11√5/35, 11√6/40, 13√7/50 and √8/4
Answered by Thiyagarajan K | 06 Apr, 2019, 05:27: PM
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