Gce Model Questions Vol1 2020 Mathematics Question 40

Practice objective / multiple choice question 40 from the 2020 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Medium Difficulty
Question 40 GCE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

Simplify the following expressions and give your answers in their simplest exact form.\n(a) \(S=\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}+\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2}}\).\n(b) \(D=\left(\frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}-\sqrt{2}}\right)^{2}-\left(\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}+\sqrt{2}}\right)^{2}\).

Answer Options

A. S = \(\frac{14}{5}\); D = \(\frac{56\sqrt{10}}{7}\)
B. S = \(\frac{14}{3}\); D = \(\frac{56\sqrt{5}}{9}\)
C. S = \(\frac{12}{3}\); D = \(\frac{56\sqrt{10}}{9}\)
Correct Answer D. S = \(\frac{14}{3}\); D = \(\frac{56\sqrt{10}}{9}\)
Correct Answer
D
Correct Option:
S = \(\frac{14}{3}\); D = \(\frac{56\sqrt{10}}{9}\)

About This Question

This is Gce Model Questions Vol1 2020 Mathematics Question 40. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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