Simplifying surds

12 questions

1. Identify the surds.
2. Write an equivalent expression for \sqrt {d^2 \times e^2 \times h^2} that does not involve the radical sign.
3. True or false? \sqrt {41} is in its simplest form.
4. Which of these is **not** a square factor of 64?
5. Which of these is **not** a square factor of 2700?
6. True or false? The highest square factor of 225 is 25.
7. A surd is in its simplest form when the ___ is an integer with no perfect square factors greater than 1.
8. Which of these surds are in their simplest form?
9. \sqrt {72} simplifies to 6\sqrt a. What is the value of a?
10. 4\sqrt {72} simplifies to k\sqrt 2. What is the value of k?
11. 7\sqrt {48} simplifies to h\sqrt 3. What is the value of h?
12. 2\sqrt {180} simplifies to d\sqrt 5. What is the value of d?

License: OGL