Surds - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Question 22:

• JAMB 1982

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

A. \(\frac{1}{3}\)(\(\sqrt{5} - \sqrt{2}\)
B. \(\frac{\sqrt{2}}{3}\) + \(\frac{\sqrt{5}}{5}\)
C. \(\sqrt{2} - \sqrt{5}\)
D. 5(\(\sqrt{2} - \sqrt{5}\)
E. \(\frac{1}{3}\)(\(\sqrt{2} - \sqrt{5}\)

Question 23:

• JAMB 1984

Rationalize \(\frac{5\sqrt{7} - 7\sqrt{5}}{\sqrt{7} - \sqrt{5}}\)

A. -2 \sqrt{35}\)
B. 4\sqrt{7}\) - 6\(\sqrt{5}\)
C. -\(\sqrt{35}\)
D. 4\sqrt{7}\) - 8\(\sqrt{5}\)
E. \(\sqrt{35}\)

Question 24:

• JAMB 1985

\((\sqrt[4]{3} + \sqrt[4]{2})(\sqrt[4]{3} - \sqrt[4]{2})(\sqrt{3} + \sqrt{2})\) is equal to

A. 1
B. (\(\sqrt{2} + 4\sqrt{2}\))
C. (6\(\sqrt{2}\)
D. 8

Question 25:

• JAMB 1986

Simplify \((\frac{1}{\sqrt{5} + \sqrt{3}} - \frac{1}{\sqrt{5} - \sqrt{3}}) \times \frac{1}{\sqrt{3}}\)

A. \(\frac{\sqrt{3}}{\sqrt{5}}\)
B. \(\frac{2 \sqrt{3}}{7}\)
C. -2
D. -1