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Surds Questions and Answers

Surds Questions and Answers.
Surds is a Form 3 Mathematics topics.
In this courses, many questions on surds have been worked out. The answers are in form of videos explanations and workings.

Lessons (20)

• 1.    Without using mathematical tables or a calculator, evaluate #(sin 30^o - sin 60^o)/(tan 60^o)#
  4m 43s

• 2.    Simplify #(3)/(3-sqrt 7)#
  2m 23s

• 3.    Simplify #(4)/(sqrt 5 + sqrt 2)-(3)/(sqrt5-sqrt2)#
  3m 42s

• 4.    Simplify #(sqrt 11)/(sqrt 11-sqrt 7)#
  3m 32s

• 5.    Simplify #(sqrt 54 + 3 sqrt 3)/(sqrt 3)#
  2m 31s

• 6.    Simplify the expression below, leaving the answer in the form #a sqrt b + c# where a, b and c are integers. #(sqrt 48)/(sqrt 5 + sqrt 3)#
  3m 21s

• 7.    Simplify the expression below, leaving the answer in the form #a sqrt b +c# where a, b and c are integers. #(sqrt 5)/(sqrt 5 - 2)#
  2m 31s

• 8.    Simplify the following expression giving your answer in the form #a +b\sqrt c# where a, b and c are integers. #(sqrt 5 + 3)/(sqrt 5 - 2)#
  3m 15s

• 9.    Write sin #45^o# in the form #(1)/(sqrt a)# where a is a positive integer. Hence simplify #(sqrt 8)/(1+sin 45^o)#, leaving the answer in surd form.
  5m 36s

• 10.    Simplify #(4)/(sqrt 5 + sqrt 2) - (3)/(sqrt 5 - sqrt 2#
  3m 36s

• 11.    Simplify #(sqrt 3)/(sqrt 3 - sqrt 2)#
  2m 46s

• 12.    Without using a calculator or mathematical tables, express #(sqrt 3)/(1 - cos 30^o)# in surd form and simplify.
  5m 40s

• 13.    Simplify #(3)/(sqrt 5 - 2) - (1)/(sqrt 5)# leaving the answer in the form #a +b sqrt c# where a, b and c are rational numbers.
  5m 15s

• 14.    Simplify #(1+ sqrt 3)(1 - sqrt 3)#. Hence evaluate # (1)/(1 + sqrt 3)# to 3 significant figures given that #sqrt 3=1.7321#
  3m 38s

• 15.    Without using a calculator or mathematical tables, simplify #(3 sqrt 2 - sqrt 3)/(2 sqrt 3 - sqrt 2)#
  3m 30s

• 16.    Without using mathematical tables, simplify # (sqrt 63 + sqrt 72)/(sqrt 32 + sqrt 28)#
  6m 18s

• 17.    Without using mathematical tables, simplify #(2)/(3 - sqrt 7) - frac(2)(3 + sqrt 7)# in the form #a sqrt b#
  3m 9s

• 18.    Given that #a=(1)/(sqrt 3)# and b = #sqrt 13#, express #2 sqrt 3 - 6 sqrt 39# in terms of a and b and simplify.
  1m 50s

• 19.    Simplify as far as possible, leaving your answer the form of a surd. #(1)/(sqrt 14 - 2 sqrt 3) - (1)/(sqrt 14 + 2 sqrt 3)#
  3m 31s

• 20.    If #(sqrt 14)/(sqrt 7 - sqrt 2) - (sqrt 14)/(sqrt 7 + sqrt 2) = a sqrt 7 + b sqrt 2#, find the values of a and b where a and b are rational numbers.
  6m 18s