Given that 2 is irrational, prove that (5 + 3 2) is an irrational number.
yali6833:
Is it 5+3root 2?
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Answer:
Step-by-step explanation:
Given:
√2 is irrational
To Prove:
5+3√2 is irrational
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Proof:
> 5+3√2=p/q
>3√2=p/q-5
>3√2=p-5q/q
>√2=p-5q/3q
Thus clearly, √2 is rational (as proved above),but √2 is given to be irrational, so 5+3√2 is irrational.
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Answer:
Step-by-step explanation:
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