Question

prove that 3 divided by root 2 is an irrational by brainly

Answer 1

Hey Mate ,

Here is the answer ,
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Let   3   be a rational number.
      √2

Multiply it with  1 .
                         3

 3   ₓ   1    =    1  
√2      3         √2
 1   is a rational number as product of two rational numbers is also rational.
√2
This contradicts the fact that √2 is irrational. Hence, our assumption is wrong and  3   is irrational .
       √2
                                                                                      Hence, proved.
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Answer 2

$3/\sqrt{2}$Answer:

is an irrational number because:

1. root 2 is an irrational number as it cannot be written in the form of p by q