Question

Choose all the options that describe the result of the multiplication

integer
rational
irrational

Answer 1

Hint:

Is sqrt (6) rational, irrational, or an integer?

Answer 2

Integer?

Answer 3

An integer is any whole number that can be written without a fractional component, therefore 3 would be an integer.

Answer 4

Not 3, 2. 2 is the Sqrt (6)

Answer 5

\[\sqrt{6}=\sqrt{3*2}=\sqrt{3}*\sqrt{2}\]

Answer 6

Is sqrt(6) an integer? Plug it into your calculator.

Answer 7

and \[2*2=4\ne6\]

Answer 8

The sqrt(6) is not an Integer. The result is 2.449

Answer 9

Is it rational or irrational?

Answer 10

Irrational?

Answer 11

Yes, and anything multiplied by a irrational number is an irrational number. So that is your answer.

Answer 12

So it is just Irrational?

Answer 13

Yes

Answer 14

Thank you.

Answer 15

Careful, just because the decimal doesn't repeat or terminate in ten or so digits that your calculator shows doesn't mean it is irrational.

Answer 16

It was my pleasure!