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Q.

Is the statement true?


The 5+ 3   is an irrational number .


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a

    True

b

    False 

answer is A.

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Detailed Solution

Given,
The irrational number is 5+ 3  .
Let x   be a rational number, where,
⇒x=5+ 3   ⇒ 3 =x−5   As x   is rational number so x−5   is also rational number.
Therefore 3   is rational number.
Which is a contradiction as 3   is  an irrational number.
So the assumption is wrong  as x  is an irrational number.
Thus, 5+ 3   must be an irrational number
Thus, the given statement is true.
Therefore, option(1)     is correct answer.
 
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Is the statement true?The 5+ 3   is an irrational number .