How do you simplify #sqrt3(-5sqrt10+sqrt6)#?

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Answer 1 · 2018-05-01T05:59:05

#-5sqrt30 + 3sqrt2#

#sqrt3(-5sqrt10 + sqrt6)#

Use the distributive property:
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Following this image it becomes:
#-5 * sqrt3 * sqrt10 + sqrt3 * sqrt6#

Now simplify:
#-5sqrt30 + sqrt18#

Expand #sqrt18#:
#-5sqrt30 + sqrt(9 * 2)#

#-5sqrt30 + sqrt9 * sqrt2#

Final answer:
#-5sqrt30 + 3sqrt2#

Hope this helps!