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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. |
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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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