Respuesta :

hello!

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is the product of an irrational number and an irrational number always irrational?

We can easily check that by just multiplying some irrational numbers on our calculator.

Let's take

[tex]\pmb{\sqrt{2} }[/tex] times [tex]\pmb{\sqrt{5} }[/tex]

Multiply:-

The result is an irrational number.

Let's try to multiply π times itself.

Once again, we have an [tex]\pmb{irrational}[/tex] number.

Hence, the answer is:-

[tex]\pmb{Always~True}[/tex]

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note:-

  • Hope everything is clear; if you need any more explanation, kindly let me know.