EXERCISE

Find the least number which must be subtracted from the following number so as to get a perfect square. Also, find the square root of the perfect square so obtained.
$3250$
 

Find the least number which must be subtracted from the following number so as to get a perfect square. Also, find the square root of the perfect square so obtained.
 $825$

Find the least number which must be subtracted from the following number so as to get a perfect square. Also, find the square root of the perfect square so obtained.
 $4000$

Find the least number which must be added to the following number to get a perfect square. Also, find the square root of the perfect square so obtained.

$1750$

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained.
$252$

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained.
 $1825$

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained.
 $6412$

In a right triangle $\mathrm{A}\mathrm{B}\mathrm{C},\mathrm{}\mathrm{\angle }\mathrm{B}={90}^{\mathrm{o}}.$

 If $\mathrm{A}\mathrm{C}=13 \mathrm{c}\mathrm{m},\mathrm{B}\mathrm{C}=5 \mathrm{c}\mathrm{m},$ find $\mathrm{A}\mathrm{B}$