Dr. J's Maths.com
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Algebra - Irrational numbers - Advanced questions.
Test Yourself 1.

• Algebra & Number
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• Maths & beyond
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• Index

 

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.