How do you simplify #\sqrt { - 16} \cdot \sqrt { - 30}#?

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Answer 1 · 2017-11-14T13:04:09

See a solution process below:

First, use this rule for radicals to combine the radicals:

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

#sqrt(color(red)(-16)) * sqrt(color(blue)(-30)) =>#

#sqrt(color(red)(-16) * color(blue)(-30)) =>#

#sqrt(480)#

We can now reverse this process giving:

#sqrt(480) =>#

#sqrt(color(red)(16) * color(blue)(30)) =>#

#sqrt(color(red)(16)) * sqrt(color(blue)(30)) =>#

#color(red)(4)sqrt(color(blue)(30))#