Find the lest number which must be add to each of following number make perfect square
Answers
Step-by-step explanation:
In order to find the least number to be added to the given no.,
we must find a greater perfect square number, closest to the given number.
i) 525
The closest perfect square number is 576
Difference =576−525=51
Hence, 51 must be added to 525 in order to make it a perfect square.
∴
√576
=24
ii) 1750
The closest perfect square number is 1764
Difference =1764−1750=14
Hence, 14 must be added to 1750 in order to make it a perfect square.
∴
√1764
=42
iii) 252
The closest perfect square number is 256
Difference =256−252=4
Hence, 4 must be added to 252 in order to make it a perfect square.
∴
√256
=16
iv) 1825
The closest perfect square number is 1849
Difference =1849−1825=24
Hence, 24 must be added to 1825 in order to make it a perfect square.
∴
√1849
=43
v) 6412
The closest perfect square number is 6561
Difference =6561−6412=149
Hence, 149 must be added to 6412 in order to make it a perfect square.
∴
√6561
=81