## Question 50

Rationalize $\frac{2}{6-5\sqrt{3}}$

Rationalize $\frac{2}{6-5\sqrt{3}}$

If $(k{{2}_{6}})\times 6={{3}_{5}}{{(k4)}_{5}}$ what is the value of *k*

In a small village of 500 people, 350 speak the local language, while 200 speak Pidgin English. What is the percentage of the population speak both.

Simplify $\left( \tfrac{7}{9}-\tfrac{2}{3} \right)\div \left( \tfrac{1}{3}+\tfrac{2}{5}\div \tfrac{4}{5} \right)$

If $E\subseteq G\subseteq U,$where *U* is the universal set, then the shaded venn diagram representing *U* – *E* or *E ^{c}*

Compute 110011_{2} + 11111_{2}

Simplify ${{(25)}^{-\tfrac{1}{3}}}\times {{(27)}^{\tfrac{1}{3}}}+{{(121)}^{-\tfrac{1}{4}}}\times {{(625)}^{-\tfrac{1}{4}}}$

Find the tax on th income of N20,000. IF no tax is paid on the first N10,000 and tax is paid N50 in N1000 on the next N5000 and at N55 in N1000 on the remainder.

Calculate the logarithm to base 9 of ${{3}^{-4}}\times {{9}^{2}}\times {{(81)}^{-1}}$

Convert 2232_{4} to a number in base six