Question

Find the least number that must be subtracted to 6412 so as to get a perfect square. Also find the square root of the perfect square ?

Answer 1

• Least number to subtract = 12

• Square root of the perfect square = 80

Step-by-step explanation:

6412 | 80.07...

64 |

-----------

167 | 1200

| 1169

-----------

31

We see that, √6412 = 80.07...

And the nearest whole number of 80.07... is 80

So 80² = 6400, a perfect square and this is the nearest perfect square to 6412.

Therefore the required number which is to be subtracted

= 6412 - 6400

= 12

Square root of the perfect square is

= √6400 = 80