are the following numbers perfect squares give reasons a) 729000 b) 5398 c) 1024 d)529000 e) 97297 f) 2116 g) 5929
please give me answer please
Answers
Answer:
a) No , it ends with odd number of zeros.
b) No , it ends with 8.
c) yes , it is a perfect square.
d) No , it ends with odd number of zeros..
e) No , it ends with 7.
f ) Yes , It is a perfect square .
g) Yes , it is a perfect square.
Hope it helps :)
Given : a) 729000 b) 5398 c) 1024 d)529000 e) 97297 f) 2116 g) 5929
To find : is perfect square or not ?
Solution:
Square of any number ending with 0 Ends with 0 ( in Pairs )
Square of any number ending with 1 Ends with 1
Square of any number ending with 2 Ends with 4
Square of any number ending with 3 Ends with 9
Square of any number ending with 4 Ends with 6
Square of any number ending with 5 Ends with 5
Square of any number ending with 6 Ends with 6
Square of any number ending with 7 Ends with 9
Square of any number ending with 8 Ends with 4
Square of any number ending with 9 Ends with 1
Hence any perfect square can have last digit as
00 , 1 , 4 , 5 , 6 or 9
729000 ends with odd number of zeroes - Not a perfect Square
5398 - Does not end with 0 , 1 , 4 , 5 , 6 or 9 - Not a perfect Square
1024 = 32²
529000 ends with odd number of zeroes - Not a perfect Square
97297 - Does not end with 0 , 1 , 4 , 5 , 6 or 9 - Not a perfect Square
2116 = 46²
5929 Does not end with 0 , 1 , 4 , 5 , 6 or 9 - Not a perfect Square
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