Question

Find the product of 3√2 and 4√/18 in simplest form. Also, determine whether the

result is rational or irrational and explain your answer.
Result:
√
The result i
because it
integers and its decimal expansion
be written as the ratio of two

Answer 1

The product of 3√2 and 4√/18 can be simplified to 12√2/18. This result is an irrational number, because it cannot be written as the ratio of two integers and its decimal expansion is neither terminating nor repeating.

Answer 2

Product is 72 and it is rational.

The result is rational because it can be written as the ratio of two integers and its decimal expansion does not terminate or repeat

What is the product of the expression?

Product of 3√2 and 4√18

= 3√2 × 4√18

= 3√2 × 4√9×2

= 3√2 × 4×3√2

= 3√2 × 12√2

= 36√4

= 36 × 2

= 72

Therefore, the results is rational.