Question

Need help please.

Answer 1

is \[3\sqrt{3}\] rational or irrational?

Answer 2

I think its rational but I'm not sure.

Answer 3

@campbell_st

Answer 4

@geerky42

Answer 5

No, it's not rational. Anything non-square number in root is irrational. ex: \(\sqrt2,~\sqrt5,~\sqrt{10}\)

3 times irrational number is still irrational.

Answer 6

ok, but it can be put in fraction form...

Answer 7

Where its numerator and denominator are both integer? I don't think so.

Answer 8

Only a rational number can be put in fraction form. \(3\sqrt{3}\) will just be something like x^{power}

Answer 9

ok that makes sense thank you both!

Answer 10

A number is rational if it can be expressed as fraction where numerator and denominator are integer.

It was proved that it is impossible for square root of non square number to be expressed as rational.

Answer 11

No problem