Question

what is the least number that should be subtracted from each of the following to make them perfect square
(i) 36,129​

Answer 1

Answer:

$\bigstar$ The least number that should be subtracted from 36 to get a perfect square is 0

$\bigstar$ The least number that should be subtracted from 129 to get a perfect square is 8

Step-by-step explanation:

Question:

What is the least number that should be subtracted from each of the following to make them as a perfect square

(i) 36,129​

Given:

Two numbers:

• 36
• 129

To find:

The least number that should be subtracted from 36 and 129 to make them as a perfect square

Solution:

Lets take the first number = 36

On taking square root by using long division of the number 36, you get 6 (as the quotient ) and the remainder as 0

In this case, 36 is already a perfect square

(Note: The remainder on taking square root of 36 by using long division is the least number that should be subtracted from 36 to get a perfect square)

Hence, the least number that should be subtracted from 36 to get a perfect square is 0

Now, its time to take the second number = 129

On taking square root by using long division of the number 129, you get 11 (as the quotient ) and the remainder as 8

(Note: The remainder on taking square root of 129 by using long division is the least number that should be subtracted from 129 to get a perfect square)

Hence, the least number that should be subtracted from 129 to get a perfect square is 8