Question

Is the simplified form of 2-square root of 3 times 2-square root of 6 rational?

Answer 1

2square root of 3 and 2square root of 6 is rational. The product is 4 sqrt 18 or 12 sqrt 2. The answer is irrational hence answer is no. In 2, we just add 2 and 3 equal to 5 sqrt 3 which is still irrational. Answer hence in 2 is no.