Question

find two irrational number between 0.7and 0.77​

Answer 1

Given :- find two irrational number between 0.7and 0.77 ?

Solution :-

→ 0.7 = (7/10)

multiply both numerator and denominator by 10,

→ (7/10) * (10/10) = (70/100) .

and,

→ 0.77 = (77/100)

so,

→ Rational numbers between (70/100) and (77/100) are :-

• (71/100)
• (72/100)
• (73/100)
• (74/100)
• (75/100)
• (76/100) .

and,

→ Two irrational number between (70/100) and (77/100) are :-

• 0.712112111211112111112______
• 0.732322322232222______

Remember :-Numbers which can be written in the form of fraction or p/q where q ≠ 0 are called as rational numbers .

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Answer 2

Given :  0.7and 0.77​

To Find :  two irrational number between 0.7and 0.77​

Solution:

Real numbers are the numbers which can be represented on number line.

These are  Rational  and irrational numbers

Rational numbers = p/q  form  where p , q are integers and q≠ 0

rest all real numbers are irrational

0.7 = 7/10  = 70/100

0.77  = 77/100

70/100  <   irrational number  <  77 /100

=> 70² /100²  <    (irrational number )²  <   77² /100

=> 70² /100²  <  4901/100²  , 4903 /100²  <   77² /100

(irrational number )²  =  4901/100² ,   4903 /100²

irrational number  =  √4901 / 100  ,  √4903 / 100

or  √0.4901  ,  √0.4903

√0.4901  ,  √0.4903   are two irrational numbers between 0.7and 0.77​

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