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

Asked by maham237 @ in Mathematics viewed by 298 People

1.Is the simplified form of 2square root of 3 • 2square root of 6 rational?
Yes
No

2.Is the simplified form of 2square root of 3 + 3square root of 3 rational?

Yes
No

Answered by maham237 @



we are asked to find out if the product of 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.

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