Question

is the product of irrationalalwayirrational ? justify your answer very short

Answer 1

Hey mate.....^_^


Here's ur ans.

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It's not necessary that the product of two irrational numbers is always irrational .

For eg. ---

◾ √2 × √2 = 2

Here , the product is 2 which is a rational no.

◾ √3 × √4 = √12

Here the product is 12 which is an irrational no.


✌Hope it helps

Answer 2

Hey........
It is not compulsory that the product of irrational always be irrational....
For example
√3*√3=3, √7*√7=7
Now see another example
√4*√2=2*√2
From the above examples, we noticed that,
In some cases the product of irrational may be irrational but in few cases the product of irrational may be rational......
I hope I have answered correctly........