Question

Упростить выражения в корне 242 + в корне 162x- в корне 32x

Answer 1

242+в корне 162х-32х= 242+в корне 130х

Answer 2

I can help you with math problems. To simplify the expression $\sqrt{242}+\sqrt{162x}-\sqrt{32x}$, you need to follow these steps:

1. Factor out the perfect squares from each radical. For example, $\sqrt{242}=\sqrt{2\times 121}=\sqrt{2}\times\sqrt{121}=11\sqrt{2}$. 2. Simplify the radicals by taking out the square roots of the perfect squares. For example, $\sqrt{121}=11$. 3. Combine the like terms that have the same radical. For example, $\sqrt{162x}-\sqrt{32x}=\sqrt{2x}\times(\sqrt{81}-\sqrt{16})=\sqrt{2x}\times(9-4)=5\sqrt{2x}$.

The final answer is $11\sqrt{2}+5\sqrt{2x}$. You can check your answer by plugging in some values for x and comparing the original expression and the simplified expression. For more details on how to simplify radical expressions, you can visit [this website](https://ru.symbolab.com/solver/roots-calculator) or [this website](https://ru.wikihow.com/%D1%83%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%B8%D1%82%D1%8C-%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B5-%D0%B2%D1%8B%D1%80%D0%B0%D0%B6%D0%B5%D0%BD%D0%B8%D0%B5).