Question

if √7 is an irrational number then prove that 3 - 2 √7 is an irrational number.



plz tell me fast step by step..​

Answer 1

Answer:

let 3-2√7 be a rational

3-2√7=p/q where p and q are integers and q is not equal to 0

√7= p/q-3+2

here √7 is irrational and p-3+2/q is rational which is never possible

and our supposition is wrong

hence 3-2√7 is irrational

proved

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Answer 2

Answer:

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