What number can you multiply by −√2 to get a rational number?

Select each correct answer.

A. 1/2

B. √2

C. 0

D. 2

Question

What number can you multiply by −√2 to get a rational number?

Select each correct answer.

A. 1/2

B. √2

C. 0

D. 2

mikewwe13 · Answer

@vocaloid

mikewwe13 · Answer

hey mehek i've looking for to help me with this ?

umm · Answer

Well, you can't just give an answer with out understanding HOW to do it..

Mehek · Answer

Do you know what a rational number is?

mikewwe13 · Answer

yes it is any number that can be expressed of the quotient or a fraction

Mehek · Answer

Right so if you do -√2 * 1/2 does that give you a rational number?

mikewwe13 · Answer

yes

Mehek · Answer

No it does not

Vocaloid · Answer

hint: -√2 * 1/2 = (-√2)/2

since it still contains √2 it is not rational, because √2  cannot be expressed as the quotient of 2 rational numbers

Vocaloid · Answer

now what about -√2 * √2 = ?