Question

Find the least number that should be added to $38576$ to get a perfect square. Also, find the square root of the number so obtained.

• A. $233,sq.root=196$
• B. $233,sq.root=197$
• C. $233,sq.root=195$
  
• D. $196,sq.root=197$
  

Answer 1

The correct option is B $233,sq.root=197$

Square of $197$ is $38809$.

Let $x$ be the least number which should be added to $38576$ to get perfect square.

$\therefore$ $38576+x=38809$

$\Rightarrow$ $x=38809-38576$

$\therefore$ $x=233$

Now,

$\Rightarrow$ Perfect square $=38576+233=38809$

$\Rightarrow$ $\sqrt{38809}=197$