Question

4. Prove that
$5 \sqrt{3} \: is \: irrational \: using \: the \\ fact \: that \: \sqrt{3} \: is \: irrational.$

Standard:- 10

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Answer 1

let us assume 5√3 is rational number and can be written in the form a/b where b is not equal to 0
then 5√3=(a/b)
√3= (a/5b)
now √ 3 is irrational as we know but RHS is rational which cannot be true so this is a contradiction to our assumption therefore we can say that 5√3 is irrational.
hope it HELPS

Answer 2

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