66.0k views
4 votes
Is the simplified form of 2 square root of 3⋅ 2 square root of 6 rational? (

User Eryc
by
4.2k points

1 Answer

5 votes

Answer:

√2 is not rational

Explanation:

Here's what you have: 2√3 · 2√6

We can factor 2√6: 2√3 · 2√(3 · 2) = (2√3)² · √2 = 4(3)√2

4(3) is 12 and is rational. However, √2 is not rational.

User Abercrombie
by
3.6k points