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)     SHARE

• 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

---

Related Content

---

•  Course on Approximation and Errors
  

  In this course, the topic on approximation and errors will be covered in details. Some of the areas to be covered include: Rounding Off, Truncating, Accuracy and Error (Absolute Error, Relative Error) as well as Propagation of Errors.

  6 Video Lessons

•  Quadratic Expressions and Equations Course
  

  The following areas will be covered in this course: Perfect square, completing the square, solving quadratic equations using completing square method, derivation the quadratic formula and use it to solve quadratic equation, forming and solving quadratic equations from the word problem as well as...

  5 Video Lessons