Question

√-i=1-i/√2 hence proved

Answer 1

Answer:

2

​

 

1

​

 

2

​

 

1

​

×  

2

​

 

2

​

 

​

=  

2

2

​

 

​

 

Let a=(  

2

1

​

)  

2

​

 be a rational number.

⇒2a=  

2

​

 

2a is a rational number since product of two rational number is a rational number .

Which will imply that  

2

​

 is a rational number.But it is a contradiction since  

2

​

 is an  irrational number

Therefore 2a is irrational or a is irrational.

Therefore  

2

​

 

1

​

 is irrational .Hence proved.