Question

if 7 is prime,then prove that root 7 is irrarational

Answer 1

Hey frnd here is your answer


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Answer 2

Answer:

let root 7 is a rational number and root 7 = a/b where a n b are coprime n b is not =0

Step-by-step explanation:( root 7) square = ( a/b )square

7b square = a square

7 is a factor of a sqaure...  1 equ.

so  a is also divisible by 7

let a = 7c where c is some interger

(7b )square = (7c  ) square

( b) square = 7c square

7 is a factor of (b) square

so 7 is a factor of b

so 7 is a common factor of a and b

so our assumption is wrong root 7 is not a rational

it is irrational

hope its right

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