Question

smallest number which when subtracted from 374695 make the resultant a perfect square number

Answer 1

Solution -​    

Note - At first, we need to find the sq. root of 374,695 by long division method  

[Refer to the attachment]   

Remainder = 151   

Smallest no. to be subtracted = 151   

Perfect sq. = 374,695 - 151    

= 374,544    

∴ Smallest no. to be subtracted = 151    

∴ Perfect sq. = 374,544    

√374,544 = 612    

Explaination -    

The question had said that the given number 374,695 is not a perfect square. So, it asked for the smallest number which when subtracted from 374,695 it turn into a perfect square.   

To do that, first of all we need to find the square root of 374,695 with long division method as it is more reliable.    

After that, we found a remainder at the end. So, we need to subtract the remainder with the given number to make it a perfect square.  ​​

We already know that the perfect square is (612)² i.e. 374,544  And after subtracting 374,695 with the remainder, and if we found that both the numbers are equal, then we can say that the sum is correct !    

As, 374,544 = 374,544    

∴ The sum is correct and the square root of perfect sqaure is 612    

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Answer 2

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