Question

Is the simplified form of 2 v3 · 2 v6 rational?

Answer 1

No

Explanation:

2√3 × 2√6

= 4√18

= 4√9*2

= 4( 2√2)

= 8√2

Just multiply the numbers under the radical together. √3 × √6 = √18. √18 can be written as √9*2, or 3√3.

√2 is irrational, so the answer will be irrational