Question

What is the least number that must be subtracted from 10419 to make it a perfect square

Answer 1

Answer:

15

Step-by-step explanation:

10404 is the square of 102

Answer 2

15 is the least number to be subtracted from 10419.

102²=10404

Step-by-step explanation:

Given:

10419  

To find:

The smallest number is to be subtracted from 10419 to make an exact square number.

Solution:

We need to find the smallest number to be subtracted from 10419 to make a number an exact square number.

The number 10419 is not an exact square number.

The number which is exact square nearing the number 10419 is 10404.

The number 10404 is an exact square number which is 102².

To obtain the value of 10404 from 10419 it made a difference of 15.

So the minimum number to make a number exact square number of 10419 is 15.

10419⇒10404+15

         ⇒102²

10419-15⇒10404

             ⇒102²

Hence,

The Difference of the smallest number to make a number exact square number from 10419 is 15.