How do you simplify #root3(375)+root3(81)#?

1 Answer
Aug 3, 2016

Answer:

=#8root3(3)#

Explanation:

Write the numbers as the product of prime factors first, then we know what we are dealing with.

#root3(375)+root3(81)#

=#root3(3xx5xx5xx5)+root3(3xx3xx3xx3)#

=#root3(5^3xx3)+root3(3^3xx3)#

=#5root3(3)+3root3(3)# We now have like terms so we can add them.

=#8root3(3)#