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anonymous
 one year ago
Which expression is rational?
6.27316543222718…
square root of 2
square root of 14.
square root of 49
anonymous
 one year ago
Which expression is rational? 6.27316543222718… square root of 2 square root of 14. square root of 49

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: the first number is an number with an infinity of decimal figures, so it is an irrational number, furthermore, we have 49=7^2, so: \[\Large \sqrt {49} = 7 = \frac{7}{1}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: a rational number R, is a number which can be written as a ratio between two integers, say m, and n, and such that n is different from zero, namely: \[\Large R = \frac{m}{n},\quad m,n \in \mathbb{Z},\;n \ne 0\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1\( \Large \sqrt 2 ,\quad \sqrt {14} \) are not expressible like a ratio above

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but they both can be rational

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1whereas: \[\Large \sqrt {49} = 7 = \frac{7}{1}\] is expressible as a ratio between 7 and 1

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1no, \( \large \sqrt 2 ,\quad \sqrt {14} \) are both irrational

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh i see they cant be expressed as a fraction

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! So what is the right option?
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