Question

How do you simplify `ksqrt(2) times ksqrt(3)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(k xx k)(sqrt(2) xx sqrt(3) => k^2(sqrt(2) xx sqrt(3))`

Now, use this rule for radicals to simplify the radical terms:

`sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))`

`k^2(sqrt(color(red)(2)) * sqrt(color(blue)(3))) => k^2sqrt(color(red)(2) * color(blue)(3)) => k^2sqrt(6)`