find any two irrational number between 1/5 nd 2/7
Answers
It should be obvious that the following fractions lie between 7/35 and 10/35:
like
8/35
9/35
Answer:
Any two irrational numbers are 0.202002000...., 0.25255255525555.....
Step-by-step explanation:
Given: two rational numbers, 1/5 and 2/7.
To find : any two irrational numbers.
Solution :
Irrational number: An irrational number is a number which cannot be expressed as p/q form.
- The decimal expansion of an irrational number is of non-terminating and non-recurring type.
- Between any two given rational numbers, there exist infinite number of irrational numbers.
For finding the irrational number between the given rational numbers , we find the decimal expansion of the numbers 1/5 and 2/7.
1/5 ⇒ 5)10 (0.2 2/7 ⇒ 7)2000000 (0.285714
10 14
0 60
1/5 = 0.2 56
2/7 = 0.285714.... 40
(non-terminating repeating) 35
50
49
10
7
30
28
2
So, we can find any number of irrational numbers (non-terminating non-recurring) between the rational numbers 1/5 and 2/7.
That is , between 0.2 and 0.285714...Between these two numbers we can find infinite number f irrational numbers.
Therefore, we take two irrational numbers as 0.2020020002...., 1.25255255525555.
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