Question

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

Answer 1

=`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)`