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

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Answer 1 · 2017-06-30T10:02:34

See a solution process below:

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.

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

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