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Prove that (3 - 4 root 2) by 7 is an irrational number given that root 2 is an irrational number.Correct explanation will be marked as brainliest.​

Answer»

Answer:

Step-by-step explanation;

let us assume the GIVEN no. is a RATIONAL no.

therefore 3-4 root 2/7 =a/b.

3-4 root 2 =7a/b

4 root 2 =3 - 7a/b

root 2 = (3 - 7a/b)/4

but root 2 is an irrational no.

this CONTRADICTS our assumption.

therefore the given no. is an irrational no.



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