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Consider the statement: "An irrational number multiplied by an irrational number always makes an irrational product." Select all the examples that show that this statement is false. Responses A 4–√⋅5–√ square root of 4 times square root of 5 B 4–√⋅4–√ square root of 4 times square root of 4 C 7–√⋅7–√

Respuesta :

Unfortunately your answer choices are too garbled to make much sense.

But I'll show an example where the original claim is proven false.

The numbers [tex]\sqrt{20}[/tex] and [tex]\sqrt{5}[/tex] are both irrational, but [tex]\sqrt{20}*\sqrt{5} = \sqrt{20*5} = \sqrt{100} = 10[/tex] is rational since 10 = 10/1.

Therefore the claim "irrational times irrational = irrational" isn't always true.