Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Simplify the following. 4√ 8 x 4√ 12 √ 6 Answer:_______________ |
| 2) Express the following surds in its simplest form . √ 98 √ 2 Answer:_______________ |
| 3) Simplify the following. 3√ 7 x 3√ 8 3√ 7 Answer:_______________ |
| 4) Express the followingas pure surds. 53√ 4 = 3√ Answer:_______________ |
| 5) Express the followingas pure surds. 6√ 5 = √ Answer:_______________ |
| 6) Express the followingas pure surds. 5 4√ 4 = 4√ Answer:_______________ |
| 7) Express the following surds in its simplest form . 3√ 625 3√ 5 Answer:_______________ |
| 8) Express the following surds in its simplest form . √ 192 √ 3 Answer:_______________ |
| 9) Simplify the following. √ 5 x √ 18 √ 10 Answer:_______________ |
| 10) Express the following surds in its simplest form . 3√ 108 3√ 4 Answer:_______________ |
| 1) Simplify the following. 4√ 8 x 4√ 12 Answer: 2√ 6 SOLUTION 1 : 4√ 8 x 4√ 12 = 4√ 8 x √ 2 x 2 x2 x 4√ 2 x 2 x 3 = 4√ 2x2x2x2x2x3 = 2 4√ 6 |
| 2) Express the following surds in its simplest form . √ 98 Answer: 7√ 2 SOLUTION 1 : √ 98 = √ 2 x 7 x 7 = 7 √ 2 |
| 3) Simplify the following. 3√ 7 x 3√ 8 Answer: 23√ 7 SOLUTION 1 : 3√ 7 x 3√ 8 = 3√ 7 x 3√ 2x2x2 = 2 3√ 7 = 2 3√ 7 |
| 4) Express the followingas pure surds. 53√ 4 = 3√ Answer: 500 SOLUTION 1 : 5 3√ 4 = 3√ 5 x 5 x 5 x 4 = 3√ 500 |
| 5) Express the followingas pure surds. 6√ 5 = √ Answer: 180 SOLUTION 1 : 6√ 5 = √ 6 x 6 x 5 = √ 180 |
| 6) Express the followingas pure surds. 5 4√ 4 = 4√ Answer: 405 SOLUTION 1 : 5 √ 4 = √ 5 x 5 x 5 x 4 = √ 405 SOLUTION 2 : 5 4√ 4 = 4√ 3 x 3 x 3 x 3 x 5 = 4√ 81x5 = 4√ 405 |
| 7) Express the following surds in its simplest form . 3√ 625 Answer: 53√ 5 SOLUTION 1 : 3√ 625 = 3√ 5 x 5 x 5 x 5 = 5 3√ 5 |
| 8) Express the following surds in its simplest form . √ 192 Answer: 8√ 3 SOLUTION 1 : √ 192 = √ 2 x 2 x 2 x 2 x 2 x 2 x 3 = 8 √ 3 |
| 9) Simplify the following. √ 5 x √ 18 Answer: 3√ 10 SOLUTION 1 : √ 5 x √ 18 = √ 5 x √ 9 x 2 = 3 √ 5x2 = 3√ 10 |
| 10) Express the following surds in its simplest form . 3√ 108 Answer: 33√ 4 SOLUTION 1 : 3√ 108 = 3√ 2 x 2 x 3 x 3 x 3 = 3 3√ 4 |