Question

I'm adding 2(radical 50) + 12 (radical 8). I began by breaking the radical fifty into two parts: the radical of 25 and the radical of two. The radical of twenty five can break down into five, and the radical of two stays the way it is. Now it should read 2 5 radical of two. Do I multiply 2 and five together?

Answer 1

2√50 + 12√8
= 2√25√2 + 12√4√2
= 2(5)√2 + 12(2)√2
= 10√2 + 24√2
= 34√2