How do you simplify #root3(40)times4root3(5)#?

1 Answer
EZ as pi
Aug 16, 2016

#8root3(25)#

Explanation:

If cube roots are being multiplied, then we can combine them into a single root. Write the numbers as the product of their prime factors so we can see what we are dealing with.)

#root3(40)times4root3(5) = 4root3(40xx5)#

=#4root3(2xx2xx2xx5xx5)#

=#4xx2root3(25)#

=#8root3(25)#

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