Applying the underlying structure of multiplication and division of surds

12 questions

1. Calculate \sqrt {0.764} \times \sqrt {0.764}
2. Calculate {9 \over \sqrt {3}} \times {9 \over \sqrt {3}}
3. 2\sqrt {5} \times \sqrt {2} = 2\sqrt {b}. What is the value of b?
4. \sqrt {6} \times \sqrt {4} \times 3\sqrt {10}\times \sqrt {10} = a\sqrt {6}. What is the value of a?
5. Simplify the following expression: \sqrt {24} \div \sqrt {6}
6. Evaluate the following expression: 3\sqrt {20} \div \sqrt {5}
7. Simplify the expression \sqrt {4ab} \times \sqrt {7a^{2}b}
8. Simplify the expression \sqrt {3 \over 4} \times \sqrt {1 \over 3}
9. Simplify the expression: \sqrt {12} \times \sqrt {27}
10. Simplify \sqrt {48} \times \sqrt {12}
11. Calculate (2\sqrt {48} - 5\sqrt {48}) \times \sqrt {12}
12. Complete the rule for dividing surds: \sqrt {x \over y} =

License: OGL