The distributive law with surds

12 questions

1. Simplify the expression \sqrt {24a^{2}b} \times \sqrt {3a^{2}b}
2. Simplify the expression \sqrt {24 \over 30} \times \sqrt {5 \over 25}
3. \sqrt {28} \times \sqrt {80} = w\sqrt {b}. Write down the value of b.
4. \sqrt {28} \times \sqrt {80} = w\sqrt {b}. Write down the value of w.
5. Simplify the expression: \sqrt {12} + \sqrt {27} - \sqrt {48}
6. Simplify the expression: \sqrt {75} - \sqrt {27} + \sqrt {48}
7. Match the statements with the equations that demonstrate each law.
8. Expand 4(3\sqrt {5} + \sqrt {27})
9. Write \sqrt {3}(\sqrt {8} + \sqrt {20}) in the form a\sqrt {b} + c\sqrt {d}. What is the value of a?
10. Write \sqrt {3}(\sqrt {8} + \sqrt {20}) in the form a\sqrt {b} + c\sqrt {d}, where b>d. What is the value of b?
11. Write \sqrt {3}(\sqrt {8} + \sqrt {20}) in the form a\sqrt {b} + c\sqrt {d}. What is the value of c?
12. Write \sqrt {3}(\sqrt {8} + \sqrt {20}) in the form a\sqrt {b} + c\sqrt {d}, where b>d. What is the value of d?

License: OGL