Rationalising a single term denominator

12 questions

1. Which of these fractions are written in simplest form?
2. Evaluate \sqrt {41} \times \sqrt {41}
3. Evaluate \sqrt {0.3999} \times \sqrt {0.3999}
4. If the radicand is rational, then squaring the surd results in a ___ number.
5. Evaluate (\sqrt {42})^2
6. True or false? An equivalent fraction can be created by multiplying the denominator by the scale factor.
7. True or false? \sqrt {7 {1\over9}} is in its simplest form.
8. Simplify \sqrt {30 {1\over4}}. Write your answer in decimal notation.
9. What should you multiply by to rationalise 5 \over \sqrt {5} ?
10. What should you multiply by to rationalise {3 + 2\sqrt {3}} \over \sqrt {7} ?
11. Rationalise the denominator {3\sqrt {3}} \over {2\sqrt {2}}
12. Rationalise the denominator {36} \over {3\sqrt {4}}

License: OGL