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Q1 find the least number which must be added to 7900 to obtain a perfect square?Q2 find the least number which must be subtracted from 2509 to make it a perfect square?
Asked by Harshaditya
Member since Oct 31 2010
The least number which must be added to 7900 to obtain a perfect square is 21
and the least number which must be subtracted from 2509 to make it a perfect square is 9.
Answer.
First let us find the square of 7900 using long division method.
The remainder is 156. Hence
The next perfect square number is
Hence, the number to be added is
Therefore 21 should be added to 7900 to get a perfect square.
Q2 find the least number which must be subtracted from 2509 to make it a perfect square?
Solution: First let us find the square of 2509 using long division method.
The remainder is 9. Hence
Hence, the number to be subtracted is
Therefore 9 should be subtracted from 2509 to get a perfect square.
first find the square root of 7900.
by prime factorisation method
quotient+i 2=88+1=89
89x89=7921
there for 7921-7900=21
there for root of 7921=89
Q1 find the least number which must be added to 7900 to obtain a perfect square?
Solution:
First let us find the square of 7900 using long division method.
The remainder is 156. Hence
The next perfect square number is
Hence, the number to be added is
Therefore 21 should be added to 7900 to get a perfect square.
Q2 find the least number which must be subtracted from 2509 to make it a perfect square?
Solution: First let us find the square of 2509 using long division method.
The remainder is 9. Hence
Hence, the number to be subtracted is
Therefore 9 should be subtracted from 2509 to get a perfect square.
first find the square root of 7900.
by prime factorisation method
quotient+i 2=88+1=89
89x89=7921
there for 7921-7900=21
there for root of 7921=89
Solution:
First let us find the square of 7900 using long division method.
The remainder is 156. Hence
The next perfect square number is
Hence, the number to be added is
Therefore 21 should be added to 7900 to get a perfect square.
Q2 find the least number which must be subtracted from 2509 to make it a perfect square?
Solution: First let us find the square of 2509 using long division method.
The remainder is 9. Hence
Hence, the number to be subtracted is
Therefore 9 should be subtracted from 2509 to get a perfect square.
Solution:
First let us find the square of 7900 using long division method.
The remainder is 156. Hence
The next perfect square number is
Hence, the number to be added is
Therefore 21 should be added to 7900 to get a perfect square.
Q2 find the least number which must be subtracted from 2509 to make it a perfect square?
Solution: First let us find the square of 2509 using long division method.
The remainder is 9. Hence
Hence, the number to be subtracted is
Therefore 9 should be subtracted from 2509 to get a perfect square.
Q.1 ans 2 7900
2 3950
5 1975
5 395
79 79
1
Therefore , 79 is the smallest number to be multiplied
In Q1 first squareroot of7900 and then add the remainder to 7900
Least no.to be added to make perfect square to 7900 is 156
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