Question

Find the square root of which of the following numbers will be the least :

• A. $7\frac{58}{81}$
• B. $11\frac{14}{25}$
• C. $10\frac{1}{36}$
• D. $0.3481$

Answer 1

The correct option is D $0.3481$

$A.$

$7\frac{58}{81}=\frac{625}{81}$

$\Rightarrow$ $\sqrt{\frac{625}{81}}=\frac{25}{9}=2.77$

$B.$

$11\frac{14}{25}=\frac{289}{25}$

$\Rightarrow$ $\sqrt{\frac{289}{25}}=\frac{17}{5}=3.4$

$C.$

$10\frac{1}{36}=\frac{361}{36}$

$\Rightarrow$ $\sqrt{\frac{361}{36}}=\frac{19}{6}=3.16$

$D.$

$0.3481=\frac{3481}{10000}$

$\Rightarrow$ $\sqrt{\frac{3481}{10000}}=\frac{59}{100}=0.59$

$\therefore$ We can see, $0.3481$ has least square root.