Question

Find the product of 3√20 and √5 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Answer 1

30, rational

Explanation:

`3√(20)\cdot√(5)=3√(4)√(5)\cdot√(5)=(3\cdot2)\cdot5=6\cdot5=30`

The result is rational because it can be written as a fraction of integers.