The distributive law with two or more binomials

12 questions

1. Write 7(2\sqrt {5} + 3\sqrt {3}) in the form x\sqrt {5} + y\sqrt {3}. What is the value of x?
2. Write 7(2\sqrt {5} + 3\sqrt {3}) in the form x\sqrt {5} + y\sqrt {3}. What is the value of y?
3. Write 5\sqrt {3}(2\sqrt {8} + 3\sqrt {2})-\sqrt {3}(\sqrt {8} + 2\sqrt {2}) in the form a\sqrt {b}. What is the value of b?
4. Write 5\sqrt {3}(2\sqrt {8} + 3\sqrt {2})-\sqrt {3}(\sqrt {8} + 2\sqrt {2}) in the form a\sqrt {b}. What is the value of a?
5. Write \sqrt {5}(3\sqrt {5} + 2)-(3\sqrt {5} + 2) in the form a-\sqrt {b}. What is the value of b?
6. Write \sqrt {5}(3\sqrt {5} + 2)-(3\sqrt {5} + 2) in the form a-\sqrt {b}. What is the value of a?
7. Expand (2\sqrt {3} + \sqrt {3})(\sqrt {3} - 1)
8. Expand (\sqrt {2} + 1)(\sqrt {2} - 1)
9. Expand (\sqrt {5} + \sqrt {2})(\sqrt {5} - \sqrt {2})
10. Expand (3\sqrt {7} - 2\sqrt {3})(\sqrt {7} + \sqrt {3})
11. Expand (\sqrt {10} + 2\sqrt {6})(\sqrt {10} - 2\sqrt {6})
12. Expand (4\sqrt {2} - \sqrt {5})(4\sqrt {2} + \sqrt {5}). What is the result?

License: OGL