How do you multiply #sqrt(24/2)#?

1 Answer
Jun 30, 2017

Answer:

See a solution process below:

Explanation:

First, we can rewrite this radical as:

#sqrt(24/2) = sqrt(12)#

We can again rewrite this radical as:

#sqrt(12) = sqrt(4 * 3)#

Now, we can use this rule of radicals:

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

#sqrt(color(red)(4) * color(blue)(3)) = sqrt(color(red)(4)) * sqrt(color(blue)(3)) = 2sqrt(3)#

If necessary to simplify further, #sqrt(3) = 1.732# rounded to the nearest thousandth.

#2sqrt(3) = 2 * 1.732 = 3.464#