Question

(³√5-³√2)(³√25+³√10+³√4)​

Answer 1

Ответ:

3

Пошаговое объяснение:

Answer 2

Let's simplify the expression step by step:

Given expression: $(\sqrt[3]{5} - \sqrt[3]{2})(\sqrt[3]{25} + \sqrt[3]{10} + \sqrt[3]{4})$

Let's start by expanding the expression using the distributive property:

$(\sqrt[3]{5} - \sqrt[3]{2}) \cdot \sqrt[3]{25} + (\sqrt[3]{5} - \sqrt[3]{2}) \cdot \sqrt[3]{10} + (\sqrt[3]{5} - \sqrt[3]{2}) \cdot \sqrt[3]{4}$

Now, distribute each term:

$\sqrt[3]{5} \cdot \sqrt[3]{25} - \sqrt[3]{2} \cdot \sqrt[3]{25} + \sqrt[3]{5} \cdot \sqrt[3]{10} - \sqrt[3]{2} \cdot \sqrt[3]{10} + \sqrt[3]{5} \cdot \sqrt[3]{4} - \sqrt[3]{2} \cdot \sqrt[3]{4}$

Simplify each term:

$5 - \sqrt[3]{50} + \sqrt[3]{50} - 2\sqrt[3]{10} + \sqrt[3]{20} - 2\sqrt[3]{2}$

Notice that the $\sqrt[3]{50}$ terms cancel out and the $\sqrt[3]{20}$ term can be simplified:

$5-2$ 0 0