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becca9898
 one year ago
Is the square root of 5 rational or irrational?
I want to say rational?
becca9898
 one year ago
Is the square root of 5 rational or irrational? I want to say rational?

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2A rational number looks like this: \(\large\rm \frac{a}{b}\) where a and b are whole numbers and b is not zero.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Here are a few examples of rational numbers: \(\large\rm \frac{5}{3}\) is a rational number. \(\large\rm 2\) is a rational number because I can write it as \(\large\rm \frac{2}{1}\). \(\large\rm 0\) is rational because I can write it as \(\large\rm \frac{0}{1}\).

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\(\large\rm \sqrt{16}\) is rational because I can write it as \(\large\rm \frac{4}{1}\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2But \(\large\rm \sqrt{17}\) is `not` rational. There is no nice representation with integers for this number :(

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Any ideas for the sqrt(5)? :) Does this give you any hints?

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1I would say then it would be irrational because there is no representation?

Hero
 one year ago
Best ResponseYou've already chosen the best response.0The square root of a prime number is irrational

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2Yay good job becca \c:/ Another way to think about it, only the `perfect squares` are going to be rational when placed under a root. So square root of 4, 9, 16, 25, 36 and so on... these are are rational numbers. All of the roots between them are not.
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