Surds - Jamb Mathematics Past Questions and Answers

Question 31:

• JAMB 1991

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

A. - \(\frac{1}{2}\sqrt{5}\)
B. \(\frac{1}{2}\sqrt{5}\)
C. -- \(\frac{1}{4}\sqrt{5}\)
D. 5

Question 32:

• JAMB 1991

Rationalize \(\frac{2\sqrt{3} + 3 \sqrt{2}}{3\sqrt{2} - 2 \sqrt{3}}\)

A. 5 - 2\(\sqrt{6}\)
B. 5 + 2\(\sqrt{6}\)
C. 5\(\sqrt{6}\)
D. 5

Question 33:

• JAMB 1991

Simplify \(\frac{\sqrt{1 + x} + \sqrt{x}}{\sqrt{1 + x} - \sqrt{x}}\)

A. -2x - 2\(\sqrt{x (1 + x)}\)
B. 1 + 2x + 2\(\sqrt{x (1 + x)}\)
C. \(\sqrt{x (1 + x)}\)
D. 1 + 2x - 2\(\sqrt{x (1 + x)}\)

Question 34:

• JAMB 1992

Simplify 5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\)

A. 17\(\sqrt{4}\)
B. 4\(\sqrt{17}\)
C. 17\(\sqrt{2}\)
D. 12\(\sqrt{4}\)

Question 35:

• JAMB 1993

simplify \(\frac{1}{√3 - 2}\) - \(\frac{1}{√3 + 2}\)

A. 3
B. \(\frac{2}{3}\)
C. 7
D. -4