Question

Find the least number which must be subtracted from 6203 to obtain a perfect square also find square root of the number so obtained​

Answer 1

Answer:

To find the least number that must be subtracted from 6203 to obtain a perfect square, we will have to compute the square root of 6203 by Long Division method. So, the remainder is 119 and 119 is the least number that must be subtracted from 6203 to get a perfect square. Now, we will subtract 119 from 6203.

Answer 2

Given:

A number = 6203, which is not a square root

To find:

1. The least number which must be subtracted from 6203 to obtain a perfect square.

2. Square root of the number so obtained​.

Solution:

1. First we need to find the square root of the given number using the long division method.

2. We get the remainder as 119 so 119 must be subtracted from the number to get a perfect square.

New number= 6203-119= 6084

3. Again, we find the square root of the new number:

√6084 = 78

So, in this case remainder is zero.

* Least number that should be added is 119.

* Square root of the number is 78.