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Prove that 3 + 2/5 is irrational. |
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Answer» Step-by-step explanation: LET take that 3+2 5
is RATIONAL number → so, we can write this answer as ⇒3+2 5
= b a
Here a & b use TWO coprime number and b =0. ⇒2 5
= b a
−3 ⇒2 5
= b a−3b
∴ 5
= 2b a−3b
Here a and b are integer so 2b a−3b
is a rational number so 5
should be rational number but 5
is a IRRATIONAL number so it is contradict - HENCE 3+2 5
is irrational. |
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