Question

prove that 3 root 5 minus 8 is an irrational number​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

let us assume on the contary 3 root 5-8 is a rational no. , then there exists a and b co - prime integer such that

Step-by-step explanation:

3 root 5 - 8 = a/b

3 root 5 = a/b + 8

3 root 5 = (a+8b) / b

root 5 = (a+8b) / 3b

(a+8b) / 3b is a rational no.

Then, root 5 is also a rational no. But we know that root 5 is an irrational no.

. This is an contradiction

This contradiction arisen as our assumption is wrong

Hence, 3 root 5 - 8 is an irrational no.

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