Surds - Jamb Mathematics Past Questions and Answers

Question 1:

• JAMB 2019

Find the value of k in the equation: \(\sqrt{28} + \sqrt{112} - \sqrt{k} = \sqrt{175}\)

A. \(\sqrt{28}\)
B. 7
C. 28
D. \(\sqrt{7}\)

Question 2:

• JAMB 2019

Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.

A. \(\frac{2\sqrt{3}}{3} + 10\)
B. \(\frac{3\sqrt{2} - 1}{5}\)
C. \(\frac{3\sqrt{2} + 1}{5}\)
D. \(\frac{2\sqrt{3}}{3} - 10\)

Question 3:

• JAMB 2018

Evaluate (2√3 - 4) (2√3 + 4)

A. -4
B. -2
C. 2
D. 4

Question 4:

• JAMB 2017

If \(\frac{2 \sqrt{3} - \sqrt{2}}{\sqrt{3} + 2 \sqrt{2}} = m + n\sqrt{6}\),

find the values of m and n respectively

A. 1, - 2
B. - 2, n = 1
C. \(\frac{-2}{5}\), 1
D. \(\frac{2}{3}\)

Question 5:

• JAMB 2017

Simplify 4\(\sqrt{27}\) + 5\(\sqrt{12}\) − 3\(\sqrt{75}\)

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