Surds Questions and Answers - Form 3 Topical Mathematics

Share via Whatsapp

Surds

  1. Simplify; 3/(√7 − 2) + 1/√7  leaving the answer in the form a + b c , where a, b and c are rational numbers 
  2. Given that:-
    2+√5  −  3 + √5 = a+b√5
    2-√5        2+√5
    Find the values of
    a and b where a and b are rational numbers
  3.  If:
      14       −    14    = a√7 + b√2
    7 - √12     7 + √2
    Find the values of
    a and b, where a and b are rational numbers *
  4. Rationalize the denominator
     2 − √2  
    (√2 − 1)3
    and express your answer in the form of a + c√2
  5. The figure below is a right pyramid with a rectangular base ABCD and vertex V. 
    surds q5
    O is the centre of the base and M is a point on OV such that OM = 1/3 OV, AB = 8 cm, BC = 6 cm and VA = VB=VD = VC = 15 cm. Find ;
    1. The height OV of the pyramid.
    2. The angle between the plane BMC and base ABCD.
  6. Find the value of y which satisfies the equation
    Log 105 – 2 + log10 (2y + 10) = log10 (y – 4)
  7. Simplify the expression
    √ 3 - √2 giving your answer in the for of a + b√c.
    √3 + √2

Answers

  1.  
    surds ans 1
  2.  
    surds ans2
  3.  
    surds ans 3
  4.  
    surds ans 4
  5. (2 – 3 ) (3 + 2)
    3(2)2 – 2)2
    3x2 – 3 + 2 – 2
    9x2 – 4x3
    6 – 3 + 2 – 6
    18 – 12 = 6
    1. Or = 162 - 52
      = √(256 – 25)
      = 15.198 cm
    2. tan θ= 5.066/4 = 1.2665
      ∴ θ51.710
  6. Log105 – log10102 + log10(2y + 10) = log10(y – 4)
    Log10{5 (2y + 10)/102} = log 10 (y-4)
    10y + 50 = 100 y – 400
    90 y = 450
    y = 5
  7.  
    surds ans 8

Download Surds Questions and Answers - Form 3 Topical Mathematics.


Tap Here to Download for 50/-




Why download?

  • ✔ To read offline at any time.
  • ✔ To Print at your convenience
  • ✔ Share Easily with Friends / Students


Join our whatsapp group for latest updates
.
Subscribe now

access all the content at an affordable rate
or
Buy any individual paper or notes as a pdf via MPESA
and get it sent to you via WhatsApp

 

What does our community say about us?

Join our community on:

  • easyelimu app
  • Telegram
  • facebook page
  • twitter page
  • Pinterest