Grade 12 Surds Worksheet 2015

Page 1 of 2

SECTION A

1. Reduce each of the following surd

expressions to its simplest form.

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

2. Simplify each of the following surd

expressions.

a)

b)

c)

d)

e)

f)

g)

3. Simplify each of the following surd

expressions.

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

4. Rationalize the denominator in each

of the following surd expressions,

stating your answer in its simplest

form.

a)

f)

b)

g)

c)

h)

d)

i)

e)

j)

Grade 12 Surds Worksheet 2015

Page 2 of 2

SECTION B

1. Without using calculators or tables, show that

a)

b)

2. Without using calculators or tables, evaluate

a)

b)

c)

d)

3. Express

in the form , where .

4. Express

in the form , where .

5. Without using calculators or tables, show that

a)

b)

c)

d)

6. Without using calculators or tables, evaluate

a)

b)