Question

The product of an irrational number and an irrational number is irrational?

Answer 1

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

$\pmb{\sqrt{2} }$ times $\pmb{\sqrt{5} }$

Multiply:-

The result is an irrational number.

Let's try to multiply π times itself.

Once again, we have an $\pmb{irrational}$ number.

Hence, the answer is:-

$\pmb{Always~True}$

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note:-

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