Question

Is the product of `3sqrt2` and `8sqrt18` rational or irrational?

Answer 1

See a solution process below:

Explanation:

We can rewrite the expression as:

`(3 * 8)(sqrt(2) * sqrt(18)) => 24(sqrt(2) * sqrt(18)) =>`

`24(sqrt(2 * 18)) => 24(sqrt(36)) => 24 * 6 => 144`

The product is rational.