Question

if x=root8 , y=root2 then which of the following is rational? a. x/y b. x-y c. root xy d. both A & C​

Answer 1

Answer:

I think it is a

Step-by-step explanation:

$x = \sqrt{8} = \sqrt{ {2}^{2} } \times 2 = 2 \sqrt{2} \\ y = \sqrt{2} \\ x \div y = 2 \sqrt{2 } \div \sqrt{2} = 2 \\ x - y \: is \: not \: a \: rational \:number \\ \sqrt{x \times y} is \: also \: irrational$