Surds - Jamb Mathematics Past Questions and Answers

Question 11:

• JAMB 2014

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

A. 3\(\sqrt{6} - 7\)
B. 3\(\sqrt{6} + 7\)
C. 3\(\sqrt{6} - 1\)
D. 3\(\sqrt{6} + 1\)

Question 12:

• JAMB 2013

Simplify \(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)

A. 5
B. \(\frac{1}{5}\)
C. \(\frac{1}{9}\)
D. 9

Question 13:

• JAMB 1978

Find the square root of 170 - 20\(\sqrt{30}\)

A. 2 \(\sqrt{10}\) - 5\(\sqrt{3}\)
B. 2 \(\sqrt{5}\) - 5\(\sqrt{6}\)
C. 5 \(\sqrt{10}\) - 2\(\sqrt{3}\)
D. 3 \(\sqrt{5}\) - 8\(\sqrt{6}\)

Question 14:

• JAMB 1978

A force of 5 units acts on a particle in the direction to the east and another force of 4 units acts on the particle in the direction north-east. The resultants of the two forces is

A. \(\sqrt{3}\) units
B. 3 units
C. \(\sqrt{41 + 20 \sqrt{2}}\) units
D. \(\sqrt{41 - 20 \sqrt{2}}\) units

Question 15:

• JAMB 1979

Rationalize the denominator of the expression \(\frac{6 + 2\sqrt{5}}{4 - 3\sqrt{6}}\)

A. \(\frac{12+ 4\sqrt{5 + 7} 5 + 6\sqrt{3}}{39}\)
B. \(\frac{-(24 + 18\sqrt{6} + 8\sqrt{5} + 6\sqrt{30})}{39}\)
C. \(\frac{24 + 3\sqrt{6 + 8} 5 + 6\sqrt{30}}{19}\)
D. \(\frac{-15 + 3\sqrt{5 + 18} 5 + 6\sqrt{30}}{36}\)
E. \(\frac{-(12 + 4\sqrt{5} +9\sqrt{6} + 3\sqrt{30})}{19}\)