Question

Which of the following number is not a perfect square?

• A. $2\frac{1}{2}$
• B. $1\frac{1}{2}$
• C. $4\frac{1}{4}$
• D. $None$

Answer 1

Answer: (A), (B)

The correct options are
A $2\frac{1}{2}$
B $1\frac{1}{2}$

$A.$

$2\frac{1}{2}=\frac{5}{2}=2.5$

$\Rightarrow$ $\sqrt{2.5}=\frac{5}{\sqrt{10}}$

Here, we can not able to find square root of $2.5$

$\therefore$ $2\frac{1}{2}$ is not a perfect square.

$B.$

$1\frac{1}{2}=\frac{3}{2}=1.5$

$\Rightarrow$ $\sqrt{1.5}=\sqrt{1.5}$

Here, we can not able to find square root of $1.5$

$\therefore$ $1\frac{1}{2}$ is not a perfect square.

$C.$

$4\frac{1}{4}=\frac{9}{4}=2.25$

$\Rightarrow$ $\sqrt{2.25}=1.5$

$\therefore$ $4\frac{1}{4}$ is a perfect square.