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Hey, we have to prove them irrational numbers.
Answer:-
HEYA!!
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〰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....
Answer:-
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....
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