Multiply and divide radicals practice

Answer 1

Here are some practice problems for multiplying and dividing radicals:

1. Simplify the expression: √3 * √5

Solution:
√3 * √5 = √(3 * 5) = √15

2. Simplify the expression: √2 * √8

Solution:
√2 * √8 = √(2 * 8) = √16 = 4

3. Simplify the expression: √6 * √(2/3)

Solution:
√6 * √(2/3) = √(6 * 2/3) = √(12/3) = √4 = 2

4. Simplify the expression: √12 / √3

Solution:
√12 / √3 = (√12 * √3) / (√3 * √3) = √(12 * 3) / 3 = √36 / 3 = 6 / 3 = 2

5. Simplify the expression: √(25/4) / √(1/2)

Solution:
√(25/4) / √(1/2) = (√25 / √4) / (√1 / √2) = (5 / 2) / (1 / √2) = (5 / 2) * √2 = (5√2) / 2

Note: Make sure to simplify the radicals and rationalize the denominators whenever possible.