Skip to content

Course home

Sign up

1.2 Algebraic Fractions

EasyMediumHard
12345678910
Question 5
a.

Given that nnn is a positive integer, express

52+3n−53n−2 \frac{5}{2+3\sqrt{n}} - \frac{5}{3\sqrt{n}-2} 2+3n​5​−3n​−25​

as a single fraction not involving surds.

[5]
b.

Hence, deduce that

52+3n−53n−2 \frac{5}{2+3\sqrt{n}} - \frac{5}{3\sqrt{n}-2} 2+3n​5​−3n​−25​

is a rational number for all positive integer values of nnn.

[2]
Markscheme

1.2 Algebraic Fractions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebraic Fractions

16 exam-style questions on Edexcel A Level Maths 1.2 Algebraic Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank