Find the square root of the following:. I) 2 14/25. ii)3 22/49
Answers
Step-by-step explanation:
Question 1:
Express the following statements mathematically:
(i) square of 4 is 6; (ii) square of 8 is 64; (iii) square of 15 is 225.
ANSWER:
(i) 42 = 16
(ii) 82 = 64
(iii) 152 = 225
Page No 30:
Question 2:
Identify the prefect squares among the following numbers;
1, 2, 3, 8, 36, 49, 65, 67, 71, 81, 169, 625, 125, 900, 100, 1000, 100000.
ANSWER:
62 = 36
72 = 49
92 = 81
132 = 169
252 = 625
302 = 900
102 = 100
Hence, 36, 49, 81, 169, 625, 900 and 100 are perfect squares.
Page No 30:
Question 3:
Make a list of all perfect squares from 1 to 500.
ANSWER:
12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
172 = 289
182 = 324
192 = 361
202 = 400
212 = 441
222 = 484
Hence, the perfect squares between 1 and 500 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441 and 484.
Page No 30:
Question 4:
Write 3-digit numbers ending with 0, 1, 4, 5, 6, 9, one for each digit, but none of them is a perfect square.
ANSWER:
The numbers are 100, 101, 104, 105, 106 and 109.
There are other possibilities too, e.g. 110, 111, 124, 115, 116 and119.
Page No 30:
Question 5:
Find numbers from 100 to 400 that end with 0, 1, 4, 5, 6 or 9, which are perfect squares.
ANSWER:
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
172 = 289
182 = 324
192 = 361
202 = 400
Therefore, the required numbers are 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.