Question

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​

Answer 1

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 :)

Answer 2

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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