Question

The square root of 2 is a rational number

Answer 1

is it?

Answer 2

Hint: All imperfect square roots are irrational numbers. Is the square root of 2 a perfect square?

Answer 3

yes i think

Answer 4

So if you were to perform \(\sqrt{2}\) in your calculator, would you get a whole number?

Answer 5

yes i got 1.41

Answer 6

1.41 is not a whole number...

Answer 7

ok so its false

Answer 8

THat would mean that it is false because \(\sqrt{2}\) is not a rational number.

Answer 9

ok thank you

Answer 10

np :)

Answer 11

of course the fact that you got a decimal by putting this into your calculator does not make it irrational

Answer 12

for instance\[\sqrt{\frac19}\]will give you a decimal answer but is a rational number since it can be written as a ratio of two numbers\[\frac13\]