Question

Show that 4 root 2 is an irrational number

Answer 1

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....⚫⚫

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Answer 2

4 root 2 is an irrational number because if we find out the value of root 2 we will get it in decimal so when we will get it in decimal it is considered as an irrational number...HOPE THIS HELPS YOU...