(i) √100 + √36
√100 +√36=10 + 6 = 16
(ii) √1360 + 9
√1360 + 9 = √1369
√1369 = 37 × 37
√1369 = 37
(iii) √2704+√144+√289
2704 = 2 × 2 × 2 × 2 × 13 × 13
= 2 × 2 × 13 × 2 × 2 × 13
2704 = 52 × 52
√2704 =52
√144 = 12 and √289 = 17
∴ √2704 + √144 + √289 = 52 + 12 + 17 = 81
(iv) √225 – √25
15 – 5=10
(v) √1764 – √1444
1764
1764 = 2 × 2 × 3 × 3 × 7 × 7
=2 × 3 × 7 × 2 × 3 × 7
1764 = 42 × 42
√1764 = 42
1444 = 2 × 2 × 19 × 19
= 2 × 19 × 2 × 19
1444 = 38 × 38
√1444 = 38
∴√l764 – √1444 = 42 – 38 = 4
(vi) √169 × √361
√169 × √361 = 13 × 19 = 247
