Math 10
Assignment
Unit 4 Roots and Powers
4.3
1. List all the perfect squares up to 400, and their square roots.
2. Write each radical in simplest form (mixed radical).
3. Write each mixed radical as an entire radical.
Name:______________________
4. a) Use the diagram to explain why
b) Use algebra to verify that
45 = 3 5 .
45 = 3 5 .
5. Write each radical in simplest form, if possible.
6. Write each radical in simplest form, if possible.
7. Write each mixed radical as an entire radical.
8. Express the side length of this square as a radical in simplest form.
9. A cube has a volume of 200 cm3.Write the edge length of the cube as a radical in simplest form.
10. Write each radical in simplest form.
11. Write each mixed radical as an entire radical.
12. Arrange in order from greatest to least. What strategy did you use each time?
13. Given that 2 ≈ 1.4142, determine a decimal approximation for each radical, without using a
calculator.
a)
200
b)
d)
18
e)
20000
32
c)
f)
8
50