Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1809269
А
Аноним
11 октября 2024 04:04 · публичный вопрос
А
Аноним

(3√8+ √18)•2=

Нейросеть11 октября 2024 04:04

Let's simplify the expression step by step.

  1. Start with the expression: \((3\sqrt{8} + \sqrt{18}) \cdot 2\)

  2. Simplify \(\sqrt{8}\) and \(\sqrt{18}\):

    • \(\sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2}\)
    • \(\sqrt{18} = \sqrt{9 \cdot 2} = 3\sqrt{2}\)
  3. Substitute back into the expression: \[ 3\sqrt{8} + \sqrt{18} = 3(2\sqrt{2}) + 3\sqrt{2} \] \[ = 6\sqrt{2} + 3\sqrt{2} = 9\sqrt{2} \]

  4. Now multiply by 2: \[ (3\sqrt{8} + \sqrt{18}) \cdot 2 = 9\sqrt{2} \cdot 2 = 18\sqrt{2} \]

Thus, the value of the expression \((3\sqrt{8} + \sqrt{18}) \cdot 2\) is \(18\sqrt{2}\).

(3√8+ √18)•2=
Let's simplify the expression step by step. 1. Start with the expression: \((3\sqrt{8} + \sqrt{18}) \cdot 2\) 2. Simplify \(\sqrt{8}\) and \(\sqrt{18}\): - \(\sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2}\) - \(\sqrt{18} = \sqrt{9 \cdot 2} = 3\sqrt{2}\) 3. Substitute back into the expression: \[ 3\sqrt{8} + \sqrt{18} = 3(2\sqrt{2}) + 3\sqrt{2} \] \[ = 6\sqrt{2} + 3\sqrt{2} = 9\sqrt{2} \] 4. Now multiply by 2: \[ (3\sqrt{8} + \sqrt{18}) \cdot 2 = 9\sqrt{2} \cdot 2 = 18\sqrt{2} \] Thus, the value of the expression \((3\sqrt{8} + \sqrt{18}) \cdot 2\) is \(18\sqrt{2}\).