Question

and s
Find six rational number between
2/3 5/7​

Answer 1

Step-by-step explanation:

Find six rational and six irrational number between 2/3 and 5/7

Asked by Jayant1142005 | 6th 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

I HOPE IT WILL HELPFUL TO YOU

Answer 2

Step-by-step explanation:

Find six rational and six irrational number between 2/3 and 5/7

Asked by Jayant1142005 | 6th 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

I HOPE IT WILL HELPFUL TO YOU