Question

Which pair of numbers are rationalising factors to one another

• A. $2\sqrt{3}$ and $\sqrt{3}$
• B. $3^{1/3}-3^{-1/3}$ and $3^{2/3}+1+3^{-2/3}$
• C. $x^{1/x}-x^{-1/n}$ and $(x^{\frac{n-1}{n}}-x^{\frac{n-2}{n}}+........x^{-\left(\frac{n-1}{n}\right)})$
• D. $\sqrt[3]{35}+\frac{1}{\sqrt[3]{35}}$ and $\sqrt[3]{35^2}+1-\frac{1}{\sqrt[3]{35^2}}$

Answer 1

Answer: (A), (B)

The correct options are
A $2\sqrt{3}$ and $\sqrt{3}$
B $3^{1/3}-3^{-1/3}$ and $3^{2/3}+1+3^{-2/3}$

Multiply both numbers in each option if we get a rational number then the pair of numbers are rationalising factors to one another.