Question

Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained.
(1)6412

Answer 1

$\rule{300}2$

Your Answer:

√6412= 80.07

So, the nearest square root is 81 if we add something.

Now, we know we have to obtain 81² by adding x in 6412

=> 81² = 6412 + x

=> 6561 = 6412 + x

=> 6561 - 6412= x

=> 149 = x

So, the number we have to add is 149 and the its square root is 81

Plz Mark it as brainliest.

$\rule{300}2$

Answer 2

The perfect square near to 6412 is 6400,but we must subtract 12 from 6412 to get 6400

And, the other nearest perfect square is 6561.

The number added to 6412 to get 6561

= 6561 - 6412

= 149

And the square root of the obtained number

√6561 = 81