# Surds worsksheet

it goes with the other surds revision notes sheet i uploaded earlier

Teacher recommended

- Created by: Nizbizzzz :)
- Created on: 05-06-12 10:05

First 143 words of the document:

GCSE MATHEMATICS Higher Tier, topic sheet.

SURDS and RECURRING DECIMALS

a a

Rule i) a × b = ab . =

Rule ii) .

b b

Note that there are no rules involving square-roots and addition /

subtraction!

1. Find the values of:

a) 25 + 144

b) 25 × 144 .

15

2. a) By rationalising the denominator, simplify .

5

( )

2

b) Show that 3 + 12 = 27.

i i 46

3. a) Prove that 0.4 6 = .

99

i i

b) Hence express 0.34 6 as a fraction.

4. a) Write 600 + 54 in the form p 6 where p is an integer.

600 + 54

b) Hence write in the form q .

338

You may use the fact that 338 = 2 × 132.

1

5. a) Rationalise and simplify .

8

12 + 108

b) By simplifying 12 + 108 , write in the form a b where a and b

8

are integers.

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