Question

Find the least number which must be added to 1989 so as to get a perfect square.

• A. 32
• B. 35
• C. 36
• D. 33

Answer 1

The correct option is C 36

We will find the square root of 1989 using long division method.

In finding square root of 1989 using long division, we obtain the remainder 53 and the quotient is 44.

44² = 1936 < 1989 ----(1)

The next perfect square number :

45² = 2025 > 1989 ----(2)

From (1) and (2),

44² < 1989 < 45²

Find the difference between 1989 and 45² :

45² - 1989 = 2025 - 1989

= 36

36 is the least number must be added to 1989 to get a perfect square.