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Prove that 3+2√5 is irranational |
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Answer» ong>Step-by-step explanation: answr search What would you like to ask? 10th Maths Real Numbers Revisiting Irrational Numbers Prove that 3 + 2√(5) is irr... MATHS Prove that 3+2 5
is irrational. MEDIUM Share Study later ANSWER Prove 3+2 5
is irrational. → LET take that 3+2 5
is rational number → so, we can write this answer as ⇒3+2 5
= 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. please MARK me as brenalist |
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