Math, asked by adhil08, 1 year ago

prove that 5-2√3 is an irrational number

Answers

Answered by superiortanu12378
3

If possible let us assume that 5 - 2root3 is a rational number.

So 5 - 2root3 = a/b ( where a and b are co primes , integers and b is not equal to 0)


- 2root3 = a - 5b/b

- root3 = a - 5b / 2b

- Root3 = -(a + 5b)/2b

Root 3 = a + 5b/2b


We know that root 3 is an irrational number but we have written it in the form of p/q that is integer/integer . So our assumption is wrong and 5 - 2root 3 is irrational.

Hence proved!!


By ❤tanu❤


Answered by abyn
5
hope you found it useful
Attachments:

abyn: if u have any doubts pls do ask me
adhil08: how is it will be change by transversal
abyn: do u know the meaning of transversal
adhil08: ya
abyn: then it is understandable
abyn: you can also write 8t as -5+ab
adhil08: if a line is cutt that across two or more lines is called transversal
abyn: its just shifting of sign to make it more easy
abyn: sorry its transpossing
adhil08: it's ok
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