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

Always true

Sometimes true

Never true

The Product Of An Irrational Number And An Irrational Number Is Irrational Always True Sometimes True Never True class=

Sagot :

hello!

[tex]========================================[/tex]

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.

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