jellybeans1814 jellybeans1814
  • 18-08-2020
  • Mathematics
contestada

3. The product of a rational number and an irrational number is always irrational except
when the rational number is 0.
Explain why

Respuesta :

Mouve
Mouve Mouve
  • 23-08-2020

Answer:

This is because anything multiplied by zero is zero itself.

Step-by-step explanation:

Ex: Multiply

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

Here 2 is rational and root. 2 is irrational.

Their product is

[tex]2 \sqrt{2} [/tex]

Which is irrational.

But if you have

[tex]0 \times \sqrt{2} [/tex]

Where 0 is rational and root .2 is irrational.

Their product is

[tex]0[/tex]

Whis is rational.

Hope this helps... :-)

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