Square Roots

Exercise 6.4

Part 1

Question 1: Find the square root of each of the following numbers by Division method.

(i) 2304

4
4
2304
16
48
88
8
704
704
0

`sqrt(2304)=48`



(ii) 4489

6
6
4489
36
67
127
7
889
889
0

`sqrt(4489)=67`

(iii) 529

2
2
529
4
23
43129
129
9

`sqrt(529)=23`

(iv) 3249

5
5
3249
25
57
107
7
749
749
0

`sqrt(3249)=57`

(v) 1369

3
3
1369
9
37
67
7
469
469
0

`sqrt(1369)=37`

(vi) 5776

7
7
5776
49
76
146
6
876
876
0

`sqrt(5776)=76`

(vii) 7921

8
8
7921
64
89
169
9
1521
1521
0

`sqrt(7921)=89`

(viii) 576

2
2
576
4
24
44
4
176
176
0

`sqrt(576)=24`

(ix) 1024

3
3
1024
9
32
62
2
124
124
0

`sqrt(1024)=32`

(x) 3136

5
5
3136
25
56
106
6
636
636
0

`sqrt(3136)=56`

(xi) 900

3
3
900
9
30
60
0
000
000
0

`sqrt(900)=30`


Question 2: Find the number of digits in the square root of each of the following numbers (without any calculation).

(i) 64 (ii) 144 (iii) 4489 (iv) 27225 (v) 390625

Answer: If there are even number of digits in square then number of digits in

Square Root `=(π)/(2)`

If there are odd number of digits in square then number of digits in

Square Root `=(π+1)/(2)`

(i) 1, (ii) 2, (iii) 2, (iv) 3, (v) 3

3. Find the square root of the following decimal numbers.

(i) 2.56

1
1
2.56
1
1.6
26
6
156
156
0

`sqrt(2.56)=1.6`

(ii) 7.29

2
2
7.29
4
2.7
47
7
329
329
0

`sqrt(7.29)=2.7`

(iii) 51.84

7
7
51.84
49
7.2
142
2
284
284
0

`sqrt(51.84)=7.2`

(iv) 42.25

6
6
42.25
36
6.5
125
5
625
625
0

`sqrt(42.25=6.5`

(v) 31.36

5
5
31.36
25
5.6
106
6
636
636
0

`sqrt(31.36)=5.6`



Copyright © excellup 2014