Advertisements
Advertisements
Question
Find the least number that must be subtracted to 6666 so that it becomes a perfect square. Also, find the square root of the perfect square thus obtained
Advertisements
Solution
Let us work out the process of finding the square root of 6666 by long division method.
The remainder in the last step is 105.
Is if 105 be subtracted from the given number the remainder will be zero and the new number will be a perfect square.
∴ The required number is 105.
The square number is 6666 – 105 = 6561
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
7921
Find the square root of the following number by division method.
576
Find the square root of the following number by division method.
1024
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
999
Find the square root the following by long division method:
390625
Find the square root the following by long division method:
1745041
Find the square root of the following by long division method:
3226694416
Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699
Find the greatest number of three digits that is a perfect square.
