Question

∛(7+√50)+∛(7-√50) каким числом является ответ рациональным или иррациональным

Answer 1

Ответ является Иррацилональным

Answer 2

Calculation of ∛(7+√50) and ∛(7-√50)

To calculate the values of ∛(7+√50) and ∛(7-√50), we can use the properties of cube roots. Let's break down the calculation step by step:

1. Simplify the expressions inside the cube roots: - ∛(7+√50) = ∛(7+5√2) - ∛(7-√50) = ∛(7-5√2)

2. Use the property that ∛(a+b) = ∛a + ∛b: - ∛(7+5√2) = ∛7 + ∛(5√2) - ∛(7-5√2) = ∛7 - ∛(5√2)

3. Simplify the expression ∛(5√2): - ∛(5√2) = ∛(5 * √2) = ∛5 * ∛√2 = ∛5 * √√2 = ∛5 * √2

4. Substitute the simplified expression back into the original equations: - ∛(7+√50) = ∛7 + ∛5 * √2 - ∛(7-√50) = ∛7 - ∛5 * √2

Now, let's calculate the values of ∛(7+√50) and ∛(7-√50) using a calculator or a computer algebra system.

According to the search results, I couldn't find specific values for ∛(7+√50) and ∛(7-√50) in the snippets provided However, we can still determine whether the answers are rational or irrational.

Rational or Irrational Answer

To determine whether the answers ∛(7+√50) and ∛(7-√50) are rational or irrational, we need to consider the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has an infinite non-repeating decimal representation.

Since we don't have the specific values for ∛(7+√50) and ∛(7-√50), we cannot determine their exact nature. However, based on the properties of cube roots and the presence of the square root of 50 in the expressions, it is likely that the answers are irrational.

In conclusion, the answers ∛(7+√50) and ∛(7-√50) are likely to be irrational numbers.

Please note that without the specific values, we cannot provide a definitive answer.