Algebra - Irrational numbers - Advanced questions.
Test Yourself 1.
1. Find the value of m if Answer. m = 13. | 2. Find the values of a and b if Answer.a = 16 and b = 243. |
3. Simplify the following expression and hence find the values of a, b and c if Answer.a = 12, b = 3 and c = 6. |
4. Expand the brackets in the following expression: Answer.74 + 6√30. |
5. Simplify | 6. Find the value of integers a and b such that Answer.a = 11 and b = 6. |
7. Given
find the values of a and b. Answer.a = 5 and b = 20. |
8. Given ,
find the values for a and b. Answer.a = 3 and b = 1. |
9. If , evaluate Answer.-4. | 10. Evaluate when Answer.1. |
11. If a = 4 and
evaluate . Answer.19√3/12. |
12. If
evaluate the expression b2 - 4ac. Answer.7 - 12√3. |
13. Show that
is a rational number. |
14. Show that
is a rational number. |
15. Simplify
Express the result as one fraction with a rational denominator. Answer.(√5 - 7)/4. |
16. If , find the value of and hence show that the value of .
Answer.Value is 6. |