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,

$=\frac{5}{\sqrt[]{3}}\times\frac{\sqrt[]{3}}{\sqrt[]{3}}=\frac{5\times\sqrt[]{3}}{\sqrt[]{3}\times\sqrt[]{3}}=\frac{5\sqrt[]{3}}{3}$

To be written in the form below,

$\begin{gathered} \frac{A}{B}=\frac{5\sqrt[]{3}}{3} \\ A=5\sqrt[]{3} \\ B=3 \end{gathered}$

Hence, A and B are deduced below.