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

1 Answer
smendyka
Jul 26, 2017

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)#

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