prove that 3 underoot 5 is irrational
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Answer: Let 3√5 is a rational no. where it can expressed in the form of a/b
Now,
∴3√5 = a/b
⇒√5 = a/(b*3)
⇒√5 = a/3b
∵ a/3b is a integer
∴It is a rational no.
But we know,
√5 is not a rational no.
⇒√5 is a irrational no.
∴ our assumption is wrong
3√5 is not a rational.
∴ it is irrational.
Step-by-step explanation: If, the question is of 4 marks than you have to also prove how the √5 is a irrational no.
If you don't know how to prove √5 is a irrational no. then please do ask.
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