Question

Find the least number which must be
subtracted from 1687 to make it a perfect
square find the perfect square and
also its square root.​

Answer 1

To Find:-

The perfect square and it's square root.

Solution:-

step-by-step explanation:

Here, The number 1678 doesn't get rooted. We are left with :-

Quotient = 40 and

Remainder = 78

Clearly, ( 40 )² is less than 1678 by 78.

So, By the question

therefore 3 number that should be subtracted from the given number to make a perfect square is 78.

Perfect Square

= 1678 - 78

= 1600

So, It's Square Root is 40.

$\sqrt{1600} = ({40})^{2}$

______________________________________

Additional info

What is the square of a number??

The square of a number is that number raised to the power 2.

What is a perfect square??

A natural number is called a perfect square if it is the square of some natural number.

______________________________________