Question

Find an irrational number between 5/7 and 7/9. How many more there may be?​

Answer 1

1)

Divide 5/7 & 7/9

5/7 = 0.714258...... .

7/9= 0.777777........

irrational numbers are 0.720720072000720000......

0.7340734007340007340000........

0.740740074000740000........

0.7567056700567000.....

2)

Hi friend,

We know that, an irrational number between two given rational numbers is in the form of √ab where a and b are given numbers.

a = 5/7 and b = 7/9

One rational number = √5/7 × 7/9 = √5/9

Infinite number of irrational numbers will be in between two given numbers 5/7 and 7/9

Hope it helps