Hence, the
EXERCISE 6.3
1. What could be the possible 'one's' digits of the square root of eachel
2. Without doing any calculation, find the numbers which are surely net
(m) 998001
numbers?
(i) 9801
(ü) 99856
COM
(i) 153
(ii) 257
(iii) 408
3. Find the square roots of 100 and 169 by the method of repeateds
4. Find the square roots of the following numbers by the Prime Factor
(1) 729
(i) 400
(iii) 1764
(v) 7744
(vi) 9604
(vii) 5929
(ix) 529
(x) 8100
5. For each of the following numbers, find the smallest whole number
number Also find the
Answers
Answer:
Bro or Sis!, Write your class.
Answer:
(i) 9801
Answer: 1 and 9.
Explanation: Since 12 and 92 give 1 at unit’s place, so these are the possible values of unit digit of the square root.
(ii) 99856
Answer: 4 and 6
Explanation: Since, 42 = 16 and 62 = 36, hence, 4 and 6 are possible digits
(iii) 998001
Answer: 1 and 9
(iv) 657666025Explanation: Since, 52 = 25, hence 5 is possible.
3 answer
Square root of 100 by Repeated subtraction:
1. 100 - 1 = 99
2. 99 - 3 = 96
3. 96 - 5 = 91
4. 91 -7 = 84
5. 84 - 9 = 75
6. 75 - 11 = 64
7. 64 - 13 = 51
8. 51 - 15 = 3610. 19 - 19 = 0
We get 0 at 10th step. Thus, 10 is the square root of 100.
square root 1
Square root of 169 by Repeated subtraction:
1. 169 - 1 = 168
2. 168 - 3 = 165
3. 165 - 5 = 160
4. 160 - 7 = 153
5. 153 - 9 = 144
6. 144 - 11 = 133
7. 133 - 13 = 120
8. 120 - 15 = 105
9. 105 - 17 = 88
10. 88 - 19 = 69
11. 69 - 21 = 48
12. 48 - 23 = 25
13. 25 - 25 = 0
We get 0 at 13th step. Thus 13 is the square root of 16
Answer 4
(i) 729
square root 3
Thus, Answer = 27
(ii) 400
square root 4
Thus, Answer = 20
(iii) 1764
Answer:
square root 5
Thus, Answer = 42
(iv) 4096
Answer:
square root 6
Thus, Answer = 64
(v) 7744
Answer:
square root 7
Thus, Answer = 88
(vi) 9604
Answer:
square root 8
Thus, Answer = 98
(vii) 5929
Answer:
square root 9
Thus, Answer = 77
(viii) 9216
Answer:
square root 10
Thus, Answer = 96
(ix) 529
Answer:
square root 11
Thus, Answer = 23
(x) 8100
Answer:
square root 12
Thus, Answer = 90
Answer 5