MENU
Educational Resources
Exam Papers
Form 1 Videos
Form 2 Videos
Form 3 Videos
Form 4 Videos
Grade 4 Videos
Grade 5 Videos
Grade 6 Videos
Grade 7 Videos
Class 8 Videos
Form 1 Exams
Form 2 Exams
Form 3 Exams
Form 4 Exams
KCSE Videos
Class 8 Exams
Grade 5 Exams
Grade 4 Exams
Grade 3 Exams
Grade 2 Exams
Grade 1 Exams
Online Tests
Online Tuition
Sign In
Join
Get access to thousands of educational resources
Get premium membership
and access revision papers with marking schemes, video lessons and live classes.
OR
Processing. Please wait.
Surds Questions and Answers
Simplify
√
54
+
3
√
3
√
3
KCSE 2018 Paper 2 Question 5
(2m 31s)
2127 Views
SHARE
|
« Previous
Next »
1.
Without using mathematical tables or a calculator, evaluate
sin
30
o
-
sin
60
o
tan
60
o
2.
Simplify
3
3
-
√
7
3.
Simplify
4
√
5
+
√
2
-
3
√
5
-
√
2
4.
Simplify
√
11
√
11
-
√
7
5.
Simplify
√
54
+
3
√
3
√
3
6.
Simplify the expression below, leaving the answer in the form
a
√
b
+
c
where a, b and c are integers.
√
48
√
5
+
√
3
7.
Simplify the expression below, leaving the answer in the form
a
√
b
+
c
where a, b and c are integers.
√
5
√
5
-
2
8.
Simplify the following expression giving your answer in the form
a
+
b
√
c
where a, b and c are integers.
√
5
+
3
√
5
-
2
9.
Write sin
45
o
in the form
1
√
a
where a is a positive integer. Hence simplify
√
8
1
+
sin
45
o
, leaving the answer in surd form.
10.
Simplify
4
√
5
+
√
2
-
3
√
5
-
√
2
11.
Simplify
√
3
√
3
-
√
2
12.
Without using a calculator or mathematical tables, express
√
3
1
-
cos
30
o
in surd form and simplify.
13.
Simplify
3
√
5
-
2
-
1
√
5
leaving the answer in the form
a
+
b
√
c
where a, b and c are rational numbers.
14.
Simplify
(
1
+
√
3
)
(
1
-
√
3
)
. Hence evaluate
1
1
+
√
3
to 3 significant figures given that
√
3
=
1.7321
15.
Without using a calculator or mathematical tables, simplify
3
√
2
-
√
3
2
√
3
-
√
2
16.
Without using mathematical tables, simplify
√
63
+
√
72
√
32
+
√
28
17.
Without using mathematical tables, simplify
2
3
-
√
7
-
2
3
+
√
7
in the form
a
√
b
18.
Given that
a
=
1
√
3
and b =
√
13
, express
2
√
3
-
6
√
39
in terms of a and b and simplify.
19.
Simplify as far as possible, leaving your answer the form of a surd.
1
√
14
-
2
√
3
-
1
√
14
+
2
√
3
20.
If
√
14
√
7
-
√
2
-
√
14
√
7
+
√
2
=
a
√
7
+
b
√
2
, find the values of a and b where a and b are rational numbers.
×
Share Content Via:
Facebook
Twitter
WhatsApp
Close
Get premium membership