Question

Which one of the following is an irrational number?

• A. π
• B. $\sqrt{\frac{9}{4}}$
• C. $\frac{7}{11}$
• D. $\sqrt{25}$

Answer 1

The correct option is A π

A number having non-terminating and non-recurring decimal expansion is a Irrational Number.

A number having either terminating decimal expansion or non-terminating and recurring decimal expansion is a Rational Number.

Now looking at the options:


π = 3.1415926535897932384626433832.............

π is an irrational number as the number has non-terminating and non-recurring decimal expansion.

$\sqrt{25}$ = 5 or 5.0 is a rational number.

$\sqrt{\frac{9}{4}}$ = $\frac{3}{2}$ = 1.5 is a rational number.

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{7}{11}$ = 0.6363636..... = $0.63$is a rational number


Therefore, Correct Option: (d)
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->