Find two irrational numbers between 0.7 and 0.77
Answers
(1) is an irrational no. between them.
(2) Another no. can be 0.76898035654..................
(3) Another one: 0.7123456789....................
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
=> 4900 /100² < 4901/100² , 4903 /100² < 5929 /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
or find using GM = √(0.7)(0.77) = √0.539
√0.539 is also one irrational numbers between 0.7 and 0.77
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