Page 120 - Mathematics_Form_Two

Exponents and radicals

−
(e) 1 + 2 1 – 1 7. Given that a = 1 1 a
2 2 8 5 and y = 1 a+ ,
(f) 1 000 – 40 – 63
express each the following in its
(g) 25 × 6 simplest surd form. 1
(h) 75 × 3 8. (a) y (b) a − a
FOR ONLINE READING ONLY
Mathematics for Secondary Schools (a) 50 (f) 5 729 following: ) 2 2 )( 3 − 2
4.
Simply each of the following
Expand and simplify each of the
radicals:
(

(a)
2048
3 1−
(
)
375
(g)
(b)
5 −
(b)
(c)
625
2
(i)
(d) 3 125 (h) 3 4 1296 9. (c) ( 31+ )
250
Find the square root of each of the
following numbers:
(e) 4 4096 (j) 6 3000 (a) 2 916 (b) 5 625 (c) 0.25
5. Simplify each of the following 10. Use a calculator to evaluate each
radicals: of the following (give your answer
(a) 4y 2 (d) xy 2 correct to 4 significant figures):

(a) 8900 (d) 3 75
3 33
(b) 8ym 3 (e) 729a b c
(b) 3 0.0015 (e) 3 0.009
(c) 24y 3
(c) 11 256789 (f) 9 1256
6. Rationalize the denominator in
each of the following expressions 11. Write each of the following
and simplify: expressions as a single exponent.
3
−
3
8
4
1 2 (a) 10 × 10 − 2 (f) ( )
(a) (e)
3 5 – 1 1
1
1
 2  2   4  2
3
1 3 + 1 (b)  ×  (g)   
4
2
4
(b) (f)       
2 + 1 2 3 2
6
0
x
1 6 + 4 (c) 6 × 4 2 (h) ( )
(c) ( 3 + 1) (g) 6 + 2 (d) 3 − 3 (i) 43 − 2 − 1
1 10 ÷ 10 a ba b
(d) 3 2
5
3 + 2 (e) ( )
114
Student's Book Form Two
11/10/2024 20:12:42
MATHEMATIC F2 v5.indd 114
MATHEMATIC F2 v5.indd 114 11/10/2024 20:12:42