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what is the simplified form of 3 sqrt (5c) x sqrt (15c^3)

choices are
a. 15c^2 sqrt (3)
b.6c^2 sqrt (5)
c. 5c^2 sqrt(3)
d. 12c^4 sqrt(5)

please help i don't understand how to do the question
i would really appreciate it

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1 answer

  1. 3√(5c) (√(15c^3)
    = 3√(75c^4)
    = 3*√25*√3*c^2 , * implies multiplication
    = 15√3 c^2 <==== better form than their choice a)

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