Math, asked by anujthakur35, 1 year ago

find an irrational number between 1 by 7 and 2 by 7 it given 1 by 0.142857

Answers

Answered by egregious
4
it is right . the answer given is right

anujthakur35: wrong
Answered by Anonymous
6

Answer:


Step-by-step explanation:

If x is such an irrational number then

1 / 7  <  x  <  2 / 7

=> 1 / 49  <  x²  <  4 / 49

One such number is the one with

x² = 2 / 49.

The corresponding value of x is

√2 / 7

which is then an irrational number between 1/7 and 2/7.

(Notice this same choice could have been made by taking the geometric mean of 1/7 and 2/7, if that's something you're familiar with.)


anujthakur35: yes you
anujthakur35: write
Anonymous: I hope I understood your question correctly. That the irrational needs to be 1/7 and 2/7. If not, sorry, I guess my response isn't helpful then!
Anonymous: Great!
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