If  
-3
X
  =  
X
3
 , then X is _____ a rational number.


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Answer:

not

Step by Step Explanation:
  1. Rational numbers: A rational number is any number that can be expressed as the quotient or fraction  
    p
    q
      of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.
    For example: reciprocal of  
    p
    q
      is  
    q
    p
     .
  2. If you look at the question carefully, you will notice that you have  
    -3
    X
      =  
    X
    3
     .
    Now,  
    -3
    X
      =  
    X
    3
     
    ⇒ -3 × 3 = X × X
    ⇒ -9 = X2
    ⇒ X = √-9
    √-9 is not a rational number.
  3. Thus, X is not a rational number.

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