Question

find 5 rational numbers between
$\sqrt{5} \div 7 \: and \: \:4 \div 9$
​

Answer 1

$\huge \text {Answer - }$

5 rational no. between√5/7 and 4/9

→ √5/7 < x < 4/9 ....by squaring both side

→ (√5/7)² < x² < (4/9)²

→ (5/49) < x² < (16/81)

LCM - 3969

405/3969 < x² < 774/3969

x² = 441/3969 , 484/3969 , 494/3969 , 642/3969 , 555/3969

5 rational no. between√5/7 and 4/9 = 441/3969 , 484/3969 , 494/3969 , 642/3969 , 555/3969

Answer 2

Answer:

Answer -

5 rational no. between√5/7 and 4/9

→ √5/7 < x < 4/9 ....by squaring both side

→ (√5/7)² < x² < (4/9)²

→ (5/49) < x² < (16/81)

LCM - 3969

405/3969 < x² < 774/3969

x² = 441/3969 , 484/3969 , 494/3969 , 642/3969 , 555/3969

5 rational no. between√5/7 and 4/9 = 441/3969 , 484/3969 , 494/3969 , 642/3969 , 555/3969