Question

find the least number that must be subtracted from 9509, so that the resulting number is a perfect square (if anyone knows the answer type full explanation)​

Answer 1

Given :

• 9509

To Find :

• the least number that must be subtracted from 9509, so that the resulting number is a perfect square.

Solution :

Let us work out the process of finding the square root of 9509 by using long division method.

⠀⠀⠀9 7

9 | 95 09

+ 9 | 81

187 | 1409

| 1309

| 100

We find that in the process of working out the square root of 9509 by long division method, the remainder in the last step is 100. This means that if 100 be subtracted from the given number, the reminder will be zero and the new number will be a perfect square.

Hence, the required least number = 100

and required square number = 9509 - 100 = 9409.

Also, √9409 = 97

___________________

Answer 2

Given :

9509

To Find :

the least number that must be subtracted from 9509, so that the resulting number is a perfect square.

Solution :

Let us work out the process of finding the square root of 9509 by using long division method.

⠀⠀⠀9 7

9 | 95 09

+ 9 | 81

187 | 1409

| 1309

| 100

We find that in the process of working out the square root of 9509 by long division method, the remainder in the last step is 100. This means that if 100 be subtracted from the given number, the reminder will be zero and the new number will be a perfect square.

Hence, the required least number = 100

and required square number = 9509 - 100 = 9409.

Also, √9409 = 97

___________________

Hope it will helps you ❤️