Question

Question #61863

Answer 1

`-31sqrt2`.

Explanation:

Although not immediately apparent, this expression can be simplified.

Using the property that `sqrt(ab) = sqrtasqrtb`, we can rewrite as:

`3sqrt18 - 8sqrt50 = 3sqrt(9 * 2) - 8sqrt(25 * 2) = 3sqrt9sqrt2 - 8sqrt25sqrt2`.

Since `sqrt9=3` and `sqrt25=5`, this is:

`9sqrt2 - 40sqrt2 = -31sqrt2`.