Rational or irrational?

A number is chosen at random in the interval between 3 \sqrt[]{3} and 5 \sqrt[]{5} . What is the probability that this number is irrational ?

Give your answer to 3 decimal places.


The answer is 1.00.

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1 solution

Geoff Pilling
May 16, 2016

In any interval, even though there are an infinite number of rational numbers, there is surprising zero probability of picking any of them, as there are so vastly many more irrational numbers. So, the probability of picking an irrational number is 1 \boxed1

I submitted my answer as 0.99 0.99 . It showed that I m correct. ¨ \Large \ddot\smile

Samara Simha Reddy - 5 years ago

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Cool! When dealing with infinite numbers I guess .99 is close enough! :)

Geoff Pilling - 5 years ago

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Yeah! Almost.

Samara Simha Reddy - 5 years ago

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@Samara Simha Reddy 0.99999 continued equals 1

Ahmad fikri Azhari - 2 years, 8 months ago

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