Question

Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result

is rational or irrational and explain your answer.

Answer 1

7√2

7√2 is irrational since √2 is irrational

Explanation:

3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2

7√2 is irrational since √2 is irrational