Question

Find the largest number which must be added to 8000 to make it a perfect square. Give full method.

Answer 1

at first in 8000, u need to divide the 1st pair which is 80 with such a number whose square number is less than it which is 8.

now 80-64= 16.now u put down the next pair beside 16. now it has become 1600. u need to multiply 8 with 2 which is 16 and u have to write such a no. beside 16 by which if u multiply it, it should be less than 1600 or should be equal to 1600. in this case it is 9. now 169 X 9= 1521.

here, 1600-1521= 79

.the answer u need is 89

the no.

u need to add is the square of (89+1)- 8000

=the square of 90- 8000

=8100-8000

= 100