(1) Show that 4 2 is an irrational number.(2) Prove that 3+ V5 is an i

1.	(1) Show that 4 2 is an irrational number.(2) Prove that 3+ V5 is an irrational number.
Answer» 4V2 x 4V2/ 4V2= (4V2)^2/4V2= =16×2/4V2= =32/4V2 HEYA!!--------- -----------------------------------------------------------------------------------------------------〰Given that :- 4√2 〰To prove :- 4√2 is an irrational number . ⚫We shall prove this by the method of Contraction . so let us assume that 4√2 is a Rational Number . 4√2 = r √2 = r/4 Now, we know √2 is an irrational number. So RHS { r/4 } cannot be rational . As then the equation will be false . So our Assumption is Wrong . Hence , 4√2 is an irrational number....⚫⚫

(1) Show that 4 2 is an irrational number.(2) Prove that 3+ V5 is an irrational number.

Answer»

4V2 x 4V2/ 4V2= (4V2)^2/4V2= =16×2/4V2= =32/4V2

HEYA!!---------

-----------------------------------------------------------------------------------------------------〰Given that :- 4√2

〰To prove :- 4√2 is an irrational number .

⚫We shall prove this by the method of Contraction . so let us assume that 4√2 is a Rational Number .

4√2 = r

√2 = r/4

Now, we know √2 is an irrational number.

So RHS { r/4 } cannot be rational . As then the equation will be false .

So our Assumption is Wrong .

Hence , 4√2 is an irrational number....⚫⚫