Class 8 Maths

Square Roots

Exercise 6.4

Part 1

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

(i) 2304

 44 230416 48 888 704704 0

sqrt(2304)=48

(ii) 4489

 66 448936 67 1277 889889 0

sqrt(4489)=67

(iii) 529

 22 5294 23 43 129129 9

sqrt(529)=23

(iv) 3249

 55 324925 57 1077 749749 0

sqrt(3249)=57

(v) 1369

 33 13699 37 677 469469 0

sqrt(1369)=37

(vi) 5776

 77 577649 76 1466 876876 0

sqrt(5776)=76

(vii) 7921

 88 792164 89 1699 15211521 0

sqrt(7921)=89

(viii) 576

 22 5764 24 444 176176 0

sqrt(576)=24

(ix) 1024

 33 10249 32 622 124124 0

sqrt(1024)=32

(x) 3136

 55 313625 56 1066 636636 0

sqrt(3136)=56

(xi) 900

 33 9009 30 600 000000 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

 11 2.561 1.6 266 156156 0

sqrt(2.56)=1.6

(ii) 7.29

 22 7.294 2.7 477 329329 0

sqrt(7.29)=2.7

(iii) 51.84

 77 51.8449 7.2 1422 284284 0

sqrt(51.84)=7.2

(iv) 42.25

 66 42.2536 6.5 1255 625625 0

sqrt(42.25=6.5

(v) 31.36

 55 31.3625 5.6 1066 636636 0

sqrt(31.36)=5.6