Math, asked by muditmahur79, 3 months ago

prove that 7✓5 is irrational​

Answers

Answered by Anonymous
3

Answer:

Let us assume that 7  

5

​  

 is rational number

Hence 7  

5

​  

 can be written in the form of  

b

a

​  

 where a,b(b

=0) are co-prime

⟹7  

5

​  

=  

b

a

​  

 

⟹  

5

​  

=  

7b

a

​  

 

But here  

5

​  

 is irrational and  

7b

a  is rational

as Rational

=Irrational

This is a contradiction  

so 7  √5 is a irrational number

Step-by-step explanation:

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