How do you simplify root3(375)+root3(81)3375+381?

1 Answer
Aug 3, 2016

=8root3(3)833

Explanation:

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

root3(375)+root3(81)3375+381

=root3(3xx5xx5xx5)+root3(3xx3xx3xx3)33×5×5×5+33×3×3×3

=root3(5^3xx3)+root3(3^3xx3)353×3+333×3

=5root3(3)+3root3(3)533+333 We now have like terms so we can add them.

=8root3(3)833