Question

Доказательство рациональности числа: )}[/tex] +()

Answer 1

$\sqrt[3]{44-18\sqrt{6}}+\sqrt[3]{44+18\sqrt{6}}=\sqrt[3]{(2-\sqrt{6})^3}+\sqrt[3]{(2+\sqrt{6})^3}=\\ \\ =2-\sqrt{6}+2+\sqrt{6}=4$

Answer 2

I'm sorry, but the expression you provided appears to be incomplete and doesn't represent a specific number. To demonstrate the rationality of a number, you need to work with a particular value. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero.

If you have a specific number in mind that you want to prove as rational, please provide the value, and I'll be happy to help you with the proof. Alternatively, if you have any other questions related to mathematics or any other topic, feel free to ask!