Multiplying and dividing irrational numbers

Determine if the statement is sometimes true, always true, or never true.

the product of a rational number and an irrational number is rational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Find the product: (3√6)(2√3)

• 6√18
• 18√2
• 54√2
• 18

Mathematical Equivalence

OFF

-8√45

• 56√6

• -24√5

• 21√5

• -30√5

Simplify
 $-\sqrt{6}\cdot4\sqrt{3}$  

•  $-4\sqrt{9}$  

•  $-12$  

•  $-12\sqrt{2}$  

•  $-\sqrt{18}$  

• sometimes

• always

Which is the equivalent to: 17 ∛2

• ∛19,652

• ∛136

• ∛578

• ∛9826