Question

Find the least number which must be added to $1825$ so as to get a perfect square. Also, find the square root of the perfect square so obtained.

• A. 24, 44
• B. 24, 43
• C. 23, 44
• D. 23, 43

Answer 1

The correct option is B 24, 43

For $1825$,

Since remainder is $61$.
Therefore, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${42}^2$ < $1825$
Next perfect square number is <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${43}^2$= $1849$.
Hence, number to be added = 1849 – 1825 = 24
∴1825+24=1849.
Hence, the square root of 1849 is 43.