Question

(1)
निम्न में से कौन-सी परिमेय संख्या नहीं है ?
(A) √2
(B) 0
(C) √4
(D) √-16​

Answer 1

Answer:

135756656575757667666664 to 8485585584848448854884

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is not a rational number

(A) √2

(B) 0

(C) √4

(D) √16

CONCEPT TO BE IMPLEMENTED

Rational number

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

Example :

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

EVALUATION

CHECKING FOR OPTION (A)

Here the given number is √2

Which can not be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

So √2 is not a rational number

CHECKING FOR OPTION (B)

Here the given number is 0

$\displaystyle \sf{ 0 = \frac{0}{1} }$

So 0 can be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

So 0 is a rational number

CHECKING FOR OPTION (C)

Here the given number is √4

√4 = 2

Which can be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

So √4 is a rational number

CHECKING FOR OPTION (D)

Here the given number is √16

√16 = 4

Which can be written in the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

So √16 is a rational number

FINAL ANSWER

Hence the correct option is (A) √2

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