Question

Find the least number which must be added to 6203 to make it a perfect square. find this perfect square and its square root

Answer 1

Well, the easy method is to find the approximate root of the number by using long division method ,

√6203 will result in approximately 78.7 thus,

we find square of 79 which is 6241

I took 79 because 78.7 when rounded of to will result in 79

So,

The difference between 6241 and 6203 is 38

Hence we add 38 to make it perfect square

2 nd method is,

This one is more based on trail and error methods,

The closest number to 6203 can be 80² =6400

Why 80?

I am using the number whose square are easy to calculate

Then we find square of 79 which is 6241

Then 78² = 6804

So,

79² is a closer one

Hence the number 38 should be added to make it a perfect square and the root of the number will be 79

Answer 2

Solution :-

To find the least number which must be added to 6203 to make it a perfect square, we have to find the square root of 6203 by long division method.

78

___________

7 | 6203

| 49

|_________

148 | 1303

| 1184

|_________

| 119

6203 - 119 = 6084

6084 = (78)² < 6203

(79)² = 6241 > 6203

6241 - 6203 = 38

So, 38 is the least number which must be added to 6203 to make it a perfect square.

6203 + 38 = 6241

√6241 = 79

79

____________

7 | 6241

| 49

|________

149| 1341

| 1341

|________

| 0

|