Question

write 5 irrational numbers below 3/4and5/7​

Answer 1

SOLUTION :-

$\sf{→\frac{3}{4} \: and \: \frac{5}{7}}$

Least Common Multiple of 4 and 7 is 28.

$\sf→{\frac{3}{4} \times \frac{7}{7} \: and \: \frac{5}{7} \times \frac{4}{4}}$

$\sf{→ \frac{21}{28} \: and \: \frac{20}{28}}$

Now,

$\sf{→ \frac{21}{28} \times \frac{6}{6} \: and \: \frac{20}{28} \times \frac{6}{6} }$

$\sf{→ \frac{126}{168} \: and \: \frac{120}{168}}$

Therefore, the 5 irrational number are,

1•} $\sf \frac{121}{168}$

2•} $\sf \frac{122}{168} = \frac{61}{84}$

3•} $\sf \frac{123}{168}$

4•} $\sf \frac{124}{168} = \frac{62}{84} = \frac{31}{42}$

5•} $\sf \frac{125}{168}$