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Q.

If u 2 = 17 4  , then u is:


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a

a rational number

b

an irrational number

c

an integer

d

Cannot say. 

answer is B.

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Detailed Solution

It is given that u 2 = 17 4  .
If the numerator or denominator of the fraction is an irrational number, the number is irrational.
Taking square roots on both sides, we get
u=± 17 4  
  u=± 17 2   Since, 17   is an irrational number, u will also be an irrational number.
If u 2 = 17 4  , then u is an irrational number.
Therefore, the correct option is (2).
 
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