Question

5Rationalize the denominator:V3The result can be expressed in the formAwhereBA =B =Entry Tip: Do not use a decimal approximation for square roots. To enter a numbe5*sqrt(7). Preview your answer before submitting!> Next Question

Answer 1

To rationalize the below,

`\frac{5}{\sqrt[]{3}}`

You'll multiply both the numerator and denominator by the denominator to eliminate the square root sign,

Rationalizing the denominator,

`=\frac{5}{\sqrt[]{3}}*\frac{\sqrt[]{3}}{\sqrt[]{3}}=\frac{5*\sqrt[]{3}}{\sqrt[]{3}*\sqrt[]{3}}=\frac{5\sqrt[]{3}}{3}`

To be written in the form below,

`\begin{gathered} (A)/(B)=\frac{5\sqrt[]{3}}{3} \\ A=5\sqrt[]{3} \\ B=3 \end{gathered}`

Hence, A and B are deduced below.