Page 119 - Mathematics_Form_Two

Exponents and radicals

7. 8 0.006 8. 3 0.0008 (e) a b a or ( ) a
b
x
b
9. 25679 10. 3567 x = x
th
11. 9 646 12. 6 24 2. The word radical means the n root,
where n = 2, 3, 4, …
FOR ONLINE READING ONLY
13. 154 14. 11 5 For example, if n = 2, it implies the
square root, and n = 3 implies the
99
15. 7 1.44 16. 10 205 cube root.
3. Numbers having the same index and
17. Use a calculator to find the cube root radicand can be added or subtracted. Mathematics for Secondary Schools
of each of the following numbers,
giveing the answer correct to 4 4. In rationalizing the denominator,
significant figures. multiply both the numerator and
(a) 19 (b) 64 denominator by the rationalizing
factor.
(c) 48.23 (d) 6.273

18. Use a calculator to evaluate the
following numbers, giving the answer Revision exercise 5
correct to 4 significant figures. 1. Write each of the following numbers

(a) 3 55.94 (b) 3 89.4 without radicals:

(a) 900
(c) 3 1.25 (d) 3 3.7
19. The volume of a solid cube is 1.674 (b) 160 000
3
m . Find the length of its side. (c) 3 8×27×5 3

2. Write each of the following numbers
Chapter summary in surd form:

1. The laws of exponents are as follows: 1
2
(a) 7
(a) x a x ´ b x = ab+ (b) 19 2 3

x a a b 1 3
-
(b) = x (c) 2
x b 3. Simplify each of the following
b
a
(c) x ( ) = x ab expressions:
(a)
675 + 75
(d) x - a = 1 a (b) 1024 + 4
x (c) 3 8 + 64
(e) 1
x = x (d) 175 + 28 – 63
a
a

113
Student's Book Form Two

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MATHEMATIC F2 v5.indd 113 11/10/2024 20:12:40
MATHEMATIC F2 v5.indd 113